Question

rationalising factor of 2 root3

Answer 1

Answer:

rationalization factor of a number is a number whose product with given number gives a rational number.

here we get a rational number

when ✓2 - ✓3 is multiplied with ✓2 + ✓3.

therefore, rationalization factor of ✓2 + ✓3 is ✓2 - ✓3.

Answer 2

The rationalizing factor of  $2\sqrt{3}$ is $\sqrt{3}$.

Given:

$2\sqrt{3}$

To Find:

The rationalizing factor.

Solution:

We know that √3 is an irrational number and the given number is also irrational.

when we multiply

$2\sqrt{3} \times \sqrt{3} \\\\= 2\sqrt{3\times3} \\\\= 2\sqrt{9} \\\\= 2 \times 3\\\\= 6$

We get a rational number 6.

Therefore, The rationalizing factor of  $2\sqrt{3}$ is $\sqrt{3}$.

#SPJ2

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