Home > Algebra > Multiplication and Division of Radicals

How do you simplify #3*sqrt 20/sqrt36#?

Answer 1

Ethan Adkins

#sqrt5#

#3*sqrt20/sqrt36# =#3*2sqrt5/6# =#sqrt5#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Savannah Anderson

To simplify the expression 3 * sqrt(20) / sqrt(36), we can start by simplifying the square roots. The square root of 20 can be simplified as 2 * sqrt(5), and the square root of 36 is 6.

So, the expression becomes 3 * (2 * sqrt(5)) / 6.

Next, we can simplify the numerator by multiplying 3 and 2, which gives us 6.

Therefore, the simplified expression is 6 * sqrt(5) / 6.

The 6 in the numerator and denominator cancel out, leaving us with just sqrt(5) as the final simplified answer.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.