Question

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The rationalization factor of
$2 + \sqrt{3}$
is

a•]
$\sqrt{2} + 3$
b•]
$\sqrt{2} - 3$
c•]
$\sqrt{3} - 2$
d•]
$2 - \sqrt{3}$
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Answer 1

Answer:

We need to find Rationalization factor of given number. Rationalization factor of a number is a number whose product with given number gives a rational number.

here we get a rational number when $2+\sqrt {3}$ is multiplied by $2-\sqrt{3}$

===> $2+\sqrt{3}$ × $2-\sqrt{3}$

===>${2}^{2}$ - ( $\sqrt{3}^{2}$)

===>$4-3$

===>$1$

so the rationalizing factor of $2+\sqrt{3}$ is $2-\sqrt{3}$

hope it helps you