Question

What is the rationalizing factor of 2 √(7?

Answer 1

Answer:

Rationalizing factor of 2 root 7 is root 7.....

Step-by-step explanation:

If the product of two surds is a rational number then each surd is called a Rationalizing factor of each other....

so, 2 root 7 × root 7 = 2 ×7 = 14

( 14 is a rational number )

Answer 2

Answer:

Step-by-step explanation:

Concept:

The concept of rationalizing factor will help us to solve the question.

The expression that is multiplied by an irrational expression to produce a rational number is known as the "rationalising factor."

Given:

The number which is given in the question is $2\sqrt{7}$.

To Find:

We have to find the rationalizing factor of $2\sqrt{7}$ .

Solution:

Rationalization is the process of multiplying two surds to get a rational number. The rationalisation factor (RF) of the other is the name given to the operands.

The rationalizing factor of $2\sqrt{7}$ will be when we will multiply $\sqrt{7}$ with this.

Now we can write $2\sqrt{7} \times \sqrt{7}$ .

The value of $2\sqrt{7} \times \sqrt{7} =2 \times 7=14$ .

Therefore we can say that the rationalizing factor of $2\sqrt{7}$ is $\sqrt{7}$ .

#SPJ2