How do you calculate the square root of 20 divided by the square root of 15?

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Answer 1 · 2018-06-13T22:01:00

Eliminate common factors and you will find the answer is $2/sqrt(3)$

First, let's write the expression:

$sqrt(20)/sqrt(15)$

Now, we factor each number down:

$sqrt(20)/sqrt(15)=(sqrt(5)sqrt(4))/(sqrt(5)sqrt(3))$

$=(2sqrt(5))/(sqrt(5)sqrt(3))$

We have a common factor of $sqrt(5)$ in both the numerator and denominator, and can therefore eliminate it:

$=(2cancel(sqrt(5)))/(cancel(sqrt(5))sqrt(3))$

We now have our simplified answer:

$color(green)(2/sqrt(3)$