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

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.