How do you rationalize the denominator and simplify $sqrt30/sqrt5$ ?

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Answer 1 · 2016-09-03T16:48:36

The value of this expression is $sqrt(6)$ . See explanation.

You can easily see that $30=5*6$ , so

$sqrt(30)/sqrt(6)=sqrt(5*6)/sqrt(5)=(sqrt(5)*sqrt(6))/sqrt(5)=sqrt(6)$

Answer 2 · 2016-09-03T16:51:50

$sqrt(6)$

We have: $sqrt(30)/sqrt(5)$

Let's begin by expressing the numerator as a product of two radicals:

$=(sqrt(6)timessqrt(5))/sqrt(5)$

We can then simlify this expression by cancelling the $sqrt(5)$ terms:

$=sqrt(6)$

How do you rationalize the denominator and simplify sqrt30/sqrt5 sqrt30/sqrt5?