Question

rationalize the denominator of root 5 by 2 root 3

Answer 1

Concept:

Rationalization is a procedure used in elementary mathematics to remove the irrational number from the denominator. To rationalize the denominator, a variety of rationalizing strategies are employed. Making something more efficient is what the word rationalize means.

Given:

$\sqrt5/2\sqrt3$

To Find:

Rationalized denominator of $\sqrt5/2\sqrt3$

Solution:

$\sqrt5/2\sqrt3\\\\=\sqrt5/2\sqrt3* 2\sqrt3/2\sqrt3\\= 2\sqrt15/ 4*3\\=2\sqrt15/ 12\\=\sqrt15/ 6$