Question

rationalize the denominator 42/4√5-√3​

Answer 1

Solution:

${\frac{42}{(4√5-√3)}}$

Rationalizing Factor = 4√5 + √3

${\frac{42}{(4√5-√3)}}$$×{\frac{(4√5+√3)}{(4√5+√3)}}$

$⟹{\frac{168√5+√3}{(4√5)²-(√3)²}}$

$⟹{\frac{168√5+√3}{(√80)²-(√3)²}}$

$⟹{\frac{168√5+√3}{80-3}}$

$⟹{\frac{168√5+√3}{77}}$