Maths-

General

Easy

Question

# If , then find the value of

Hint:

**Hint:**

Rationalization is a technique which is used to eliminate the irrational number in the denominator. For example, can be rationalised as

## The correct answer is: 98

### Given

Step 1 of 2:

Find the value of x^{2}

Step 2 of 2:

Put the value of x^{2} in

Rationalizing in the upper equation

Final Answer:

Hence, the value of is 98.

### Related Questions to study

Maths-

### A right circular cone has a volume of cubic inches. If the height of the cone is 2 inches, what is the radius, in inches, of the base of the cone?

### A right circular cone has a volume of cubic inches. If the height of the cone is 2 inches, what is the radius, in inches, of the base of the cone?

Maths-General

Maths-

### In the given figure OACB is a quadrant of a circle. The radius OA = 3.5 cm, OD = 2cm. Calculate the area of shaded portion

### In the given figure OACB is a quadrant of a circle. The radius OA = 3.5 cm, OD = 2cm. Calculate the area of shaded portion

Maths-General

Maths-

### The inner circumference of a circular track is 220 m. The track is 7 m wide everywhere. Calculate the cost of putting up a fence along the circumference of outer circle at the rate of Rs 2 per meter

### The inner circumference of a circular track is 220 m. The track is 7 m wide everywhere. Calculate the cost of putting up a fence along the circumference of outer circle at the rate of Rs 2 per meter

Maths-General

Maths-

### Is rational or irrational? Explain.

### Is rational or irrational? Explain.

Maths-General

Maths-

### How many times will the wheel of a car rotate in a journey of 88 km if its known that the diameter of the wheel is 56 cm?

### How many times will the wheel of a car rotate in a journey of 88 km if its known that the diameter of the wheel is 56 cm?

Maths-General

Maths-

### Express the following recurring decimal as a vulgar fraction

1.3454545454545…………

### Express the following recurring decimal as a vulgar fraction

1.3454545454545…………

Maths-General

Maths-

### A road 3.5 m wide surrounds a circular park whose circumference is 44 m. Find the cost of paving the road at Rs. 20 per m^{2}

### A road 3.5 m wide surrounds a circular park whose circumference is 44 m. Find the cost of paving the road at Rs. 20 per m^{2}

Maths-General

Maths-

The function is defined above. What is

The function is defined above. What is

Maths-General

Maths-

### Of the following, which is closest to the ratio of the total number of insects in all three colonies in week 8 to the total number of insects at the time of initial treatment?

Three colonies of insects were each treated with a different pesticide over an 8-week period to test the effectiveness of the three pesticides. Colonies A, B, and C were treated with Pesticides A,B , and C, respectively. Each pesticide was applied every 2 weeks to one of the three colonies over the 8-week period. The bar graph above shows the insect counts for each of the three colonies 0,2,4,6, , and 8 weeks after the initial treatment.

### Of the following, which is closest to the ratio of the total number of insects in all three colonies in week 8 to the total number of insects at the time of initial treatment?

Three colonies of insects were each treated with a different pesticide over an 8-week period to test the effectiveness of the three pesticides. Colonies A, B, and C were treated with Pesticides A,B , and C, respectively. Each pesticide was applied every 2 weeks to one of the three colonies over the 8-week period. The bar graph above shows the insect counts for each of the three colonies 0,2,4,6, , and 8 weeks after the initial treatment.

Maths-General

Maths-

### Express the following recurring decimal as a vulgar fraction

0.15151515………..

### Express the following recurring decimal as a vulgar fraction

0.15151515………..

Maths-General

Maths-

### Simplify by rationalizing:

### Simplify by rationalizing:

Maths-General

Maths-

The two graphs above show the total amounts of money that Ian and Jeremy each have deposited into their savings accounts for the first seven weeks after opening their accounts. After they made their initial deposits, how much more did Ian deposit each week

The two graphs above show the total amounts of money that Ian and Jeremy each have deposited into their savings accounts for the first seven weeks after opening their accounts. After they made their initial deposits, how much more did Ian deposit each week

Maths-General

Maths-

### Which of the following colonies showed a decrease in size every two weeks after the initial treatment with pesticide?

I. Colony A

II. Colony B

III. Colony C

Three colonies of insects were each treated with a different pesticide over an 8-week period to test the effectiveness of the three pesticides. Colonies A,B , and C were treated with Pesticides , and , respectively. Each pesticide was applied every 2 weeks to one of the three colonies over the 8-week period. The bar graph above shows the insect counts for each of the three colonies 0,2,4,6, and 8 weeks after the initial treatment.

### Which of the following colonies showed a decrease in size every two weeks after the initial treatment with pesticide?

I. Colony A

II. Colony B

III. Colony C

Three colonies of insects were each treated with a different pesticide over an 8-week period to test the effectiveness of the three pesticides. Colonies A,B , and C were treated with Pesticides , and , respectively. Each pesticide was applied every 2 weeks to one of the three colonies over the 8-week period. The bar graph above shows the insect counts for each of the three colonies 0,2,4,6, and 8 weeks after the initial treatment.

Maths-General

Maths-

### At the origin of a two-dimensional plane, Sam is standing. He moves two units to the east, and three units to the north. His new position can be defined in complex form as ____

### At the origin of a two-dimensional plane, Sam is standing. He moves two units to the east, and three units to the north. His new position can be defined in complex form as ____

Maths-General

Maths-

### A book was on sale for off its original price. If the sale price of the book was , what was the original price of the book? (Assume there is no sales .)

### A book was on sale for off its original price. If the sale price of the book was , what was the original price of the book? (Assume there is no sales .)

Maths-General