What’s 3√18?

2 Answers
PaulThePerson
Apr 25, 2018

Exact : 9#sqrt(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 3#sqrt(2)#. Multiply by the previous coefficient term to get 9#sqrt(2)#. Unfortunately, #sqrt(2)# is irrational so it has no direct decimal conversion, so it must be rounded.

Samrin M. · Stefan V.
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)#

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