Question
What should come in place of both x in the equation:
- 12
- 14
- 144
- 196
Hint:
In this question we have given the expression with an unknown value x. Here the concept of square roots can be used. A number's square root is a value that, when multiplied by itself, yields the original number. The other way to square an integer is to find its square root.
For example:
The correct answer is: 12
The expression here is given as:
So the value of x is 12.
In this question, we have given the expression with two values with square root and we have to find the value of x. We used the cross multiplication technique to solve this expression. After cross multiplying we used the square root method to find the value of x which came out to be 12.
Related Questions to study
The volume of a cubical box is 64 cm3. Which of the following is its side?
In this question we have given the volume of the cube as 64, so we used the concept of cure root. The sides are the same so the volume was factorised and the cubic root was found out for 64 which is 4 and hence the side of cube is 4 cm.
The volume of a cubical box is 64 cm3. Which of the following is its side?
In this question we have given the volume of the cube as 64, so we used the concept of cure root. The sides are the same so the volume was factorised and the cubic root was found out for 64 which is 4 and hence the side of cube is 4 cm.
2025 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of plants in each row.
Here we have to find out the number of rows to plant trees. The number of plants in a row should be equal to the number of rows. So we used the concept of square root and found that the total number of rows will be 45 and the plants in 1 row will be 45.
2025 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of plants in each row.
Here we have to find out the number of rows to plant trees. The number of plants in a row should be equal to the number of rows. So we used the concept of square root and found that the total number of rows will be 45 and the plants in 1 row will be 45.
Peter had some books in his library. He tried packing them in bags in various ways. While packing 85 books in each bag, 9 bags were not filled completely. Also, while packing 58 books in each bag, 13 bags were not enough to pack all the books. But in the end he was able to pack the books in M bags each having M books. How many books did Peter have?
Here in this question, we have given that while packing 85 books in each bag, 9 bags were not filled completely. Another condition is given as while packing 58 books in each bag, 13 bags were not enough to pack all the books. It is also provided that he was able to pack the books in M bags each having M books. So via the square root concept, we found out that there are 784 books in total.
Peter had some books in his library. He tried packing them in bags in various ways. While packing 85 books in each bag, 9 bags were not filled completely. Also, while packing 58 books in each bag, 13 bags were not enough to pack all the books. But in the end he was able to pack the books in M bags each having M books. How many books did Peter have?
Here in this question, we have given that while packing 85 books in each bag, 9 bags were not filled completely. Another condition is given as while packing 58 books in each bag, 13 bags were not enough to pack all the books. It is also provided that he was able to pack the books in M bags each having M books. So via the square root concept, we found out that there are 784 books in total.
Find the surface area of the cube if the area of one face of the cube is 5 square units
In this question, the area of one side is given as 5 square cm, so the total surface area of the cube can be calculated by just multiplying 6 by the area given as there are 6 faces in the cube.
Alternate method is that we can just add 5 cm square for 6 times which will result in total surface area of cube.
Find the surface area of the cube if the area of one face of the cube is 5 square units
In this question, the area of one side is given as 5 square cm, so the total surface area of the cube can be calculated by just multiplying 6 by the area given as there are 6 faces in the cube.
Alternate method is that we can just add 5 cm square for 6 times which will result in total surface area of cube.
Find the surface area of the cube if the area of one face of the cube is 5 square units
In this question, the area of one side is given as 5 square cm, so the total surface area of the cube can be calculated by just multiplying 6 by the area given as there are 6 faces in the cube.
Alternate method is that we can just add 5 cm square for 6 times which will result in total surface area of cube.
Find the surface area of the cube if the area of one face of the cube is 5 square units
In this question, the area of one side is given as 5 square cm, so the total surface area of the cube can be calculated by just multiplying 6 by the area given as there are 6 faces in the cube.
Alternate method is that we can just add 5 cm square for 6 times which will result in total surface area of cube.
In this question, we have given 4 models out of which we have to find the perfect model which can represent 5x5. So out of all the 4 models, the third model seems to be the perfect fit for the given measurement. Here the square function is the concept used.
In this question, we have given 4 models out of which we have to find the perfect model which can represent 5x5. So out of all the 4 models, the third model seems to be the perfect fit for the given measurement. Here the square function is the concept used.
A square garden has an area of 225 square feet. How much fencing would a gardener need to buy to place it around the garden?
In this question, we have given that a square garden has an area of 225 square feet, and the dimension was supposed to be found. We used the concept of square root where the area was already given and with the help of that we calculated the dimension of fencing of one side and multiplied by 4 to get the total dimension of the squared garden which came out to be 60 feet.
A square garden has an area of 225 square feet. How much fencing would a gardener need to buy to place it around the garden?
In this question, we have given that a square garden has an area of 225 square feet, and the dimension was supposed to be found. We used the concept of square root where the area was already given and with the help of that we calculated the dimension of fencing of one side and multiplied by 4 to get the total dimension of the squared garden which came out to be 60 feet.
In this question, we have given 4 models out of which we have to find the perfect model which can represent 4x4. So out of all the 4 models, the first model seems to be the perfect fit for the given measurement. Here the square function is the concept used.
In this question, we have given 4 models out of which we have to find the perfect model which can represent 4x4. So out of all the 4 models, the first model seems to be the perfect fit for the given measurement. Here the square function is the concept used.
In this question we have given a model which has an area of 36 square units. We have to find the side of the square and hence we used the concept of square function. Through this, we found out the dimension of the given model is 6 units, or more specifically 
.
In this question we have given a model which has an area of 36 square units. We have to find the side of the square and hence we used the concept of square function. Through this, we found out the dimension of the given model is 6 units, or more specifically .
The area of a square is 144 square meters. Find the perimeter of the square.
In this question, we have given the area of the square and we have to find the perimeter. So we used the concept of a square function and using that we first found out the side of the square which was found to be 12 meters and then we multiplied it by 4 which came out to be 48 meters as perimeter of the square.
The area of a square is 144 square meters. Find the perimeter of the square.
In this question, we have given the area of the square and we have to find the perimeter. So we used the concept of a square function and using that we first found out the side of the square which was found to be 12 meters and then we multiplied it by 4 which came out to be 48 meters as perimeter of the square.
Emma's bedroom is shaped like a square. What are the dimensions of the room if the area of the floor is 196 square feet?
In this question, we have given the area of the squared bedroom and we have to find the dimensions of that. So we used the concept of a square function and using that we found out the side of the square which was found to be 14 meters.
Emma's bedroom is shaped like a square. What are the dimensions of the room if the area of the floor is 196 square feet?
In this question, we have given the area of the squared bedroom and we have to find the dimensions of that. So we used the concept of a square function and using that we found out the side of the square which was found to be 14 meters.
________ is the inverse operation of square.
So in this question, we have asked about the concept of square and square roots. So both are inverse to each other. The square of another natural number is a perfect square, often known as a square number.
________ is the inverse operation of square.
So in this question, we have asked about the concept of square and square roots. So both are inverse to each other. The square of another natural number is a perfect square, often known as a square number.
Sum of squares of two numbers is 145. If square root of one number is 3, find the other number.
In this question, we were given the number 145 and we had to find the two numbers which were summed up to get 145. The condition given was the square root of one number is 3. So using the square concept, we found out that the two numbers were 8 and 9 when squared gives the value 145.
Sum of squares of two numbers is 145. If square root of one number is 3, find the other number.
In this question, we were given the number 145 and we had to find the two numbers which were summed up to get 145. The condition given was the square root of one number is 3. So using the square concept, we found out that the two numbers were 8 and 9 when squared gives the value 145.
The students of class VIII of a school donated 10000 dollars in all, for a cyclone relief fund. Each student donated as many dollars as the number of students in the class. The number of students in the class is:
Here we have to find out the number of students who donated to the cause. The number of students who donated the amount should be equal to each donation. So we used the concept of square root and found that the total number of students is 100 and per student has donated 100 dollars towards the cause that happened.
The students of class VIII of a school donated 10000 dollars in all, for a cyclone relief fund. Each student donated as many dollars as the number of students in the class. The number of students in the class is:
Here we have to find out the number of students who donated to the cause. The number of students who donated the amount should be equal to each donation. So we used the concept of square root and found that the total number of students is 100 and per student has donated 100 dollars towards the cause that happened.
Find the length of the side of a square whose area is 100 cm².
In this question, we have given the area of the square and we have to find the side length of the given square. So we used the concept of a square function and using that we found the side of the square which was found to be 10 centimeters.
Find the length of the side of a square whose area is 100 cm².
In this question, we have given the area of the square and we have to find the side length of the given square. So we used the concept of a square function and using that we found the side of the square which was found to be 10 centimeters.
