How do you simplify the radical expression by rationalizing the denominator #2/sqrt30#?

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Answer 1 · 2016-11-19T23:07:46

#sqrt30/15#

Rationalize #2/sqrt30#

Multiply by #sqrt30/sqrt30# (which equals one).

#2/sqrt30 * sqrt30/sqrt30 =(2sqrt30)/sqrt900 =(2sqrt30)/30#

The fraction #2/30 = 1/15#, so...

#(2sqrt30)/30=(1sqrt30)/15=sqrt30/15#

The square root of #30# cannot be further simplified because it has no factors which are perfect squares.