# How do you simplify #3sqrt(-48)#?

##### 1 Answer

Dec 20, 2015

or more proper form

#### Explanation:

Rewrite as follow .... because we can't have a real answer if we have negative number under the radical

Rewrite, to that 2 numbers multiply equal 48 but one of them is a perfect square

#=3sqrt(16*3*-1)#

Take the square root of 16, and square of -1 and place it in the front as and multiply it to 3

#=3*4*i sqrt(3)#

#= 12i sqrt(3)#

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