What’s 3√18?

2 Answers
Apr 25, 2018

Exact : 9sqrt(2) Rounded:~12.728

Explanation:

You can divide sqrt(18) into sqrt(2*9), then simplify that to sqrt(2*3^2). Because these 2 terms are multiplicative, the 3^2 can be removed from the square root. The next result would be 3sqrt(2). Multiply by the previous coefficient term to get 9sqrt(2). Unfortunately, sqrt(2) is irrational so it has no direct decimal conversion, so it must be rounded.

Apr 25, 2018

9sqrt(2 )

Explanation:

First, let's figure out how to simplify what's inside.

sqrt(18) is the same as sqrt(3 xx 3 xx 2)

Circle the pairs. Here you can see their's only one pair and that is of 3. Everything else remains inside. Multiply 3 by the 3 on the outside and that will get you

9sqrt(2)