Question
Express the square number 5² as the sum of two consecutive integers.
- 12 + 13
- 10 + 15
- 9 + 16
- 20 + 5
Hint:
Squares, as well as square roots both ideas, are diametrically opposed to one another. Squares are the numbers that are produced when a value is multiplied by itself. In contrast, a number's square root is a value that, when multiplied by itself, returns the original value.
In this question, we have given the term 5² and we have to express it as the sum of two consecutive integers. Here we will use the concept of consecutive integers.
The correct answer is: 12 + 13
Now we have given the square number 5² and we have to express it as the sum of two consecutive integers.
The numbers that come after one another are known as consecutive integers. They proceed sequentially or alphabetically. For instance, a group of natural numbers is a sequence of integers. For example, 2 and 3 are consecutive integers, 5 and 6 are consecutive integers.
These consecutive integers can be expressed in the form of x and x+1.
As per the question we have given the number 5² which is equal to 25. Let the first number be x and second number be x+1, then:
Adding both the numbers, we get:
Now we got the first term as 12.
Putting the value of x in x+1, we get:
12+1=13
So the second integer is 13.
So the consecutive integers are 12 and 13.
In this question, we have given a number 25 and we have to find the two consecutive integers who can sum up and get 25. So using the concept of consecutive integers of x and x+1, we found the two numbers were 12 and 13 which after adding give the sum of 25 respectively.
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using positive exponent
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