Question

Simplify 4sqrt(6) / sqrt(30) by rationalizing the denominator.

Answer 1

Given question is 4√6/√30
by rationalizing the denominator
4√6x√30/√30x√30
= 4√6x30/√30²
=4x√180/30 (i)
by solving the √180
√180=6√5
putting the value of √180 in (i)
=4x6√5/30
=24√5/30
=4√5/5 is the right answer.

Answer 2

Answer:

4/\sqrt{5}

Step-by-step explanation:

Given -

$4/\sqrt{5}/ ( \sqrt{30} \\= 4/\sqrt{5}/ (\sqrt{6} * \sqrt{5} )\\= 4/\sqrt{5}$