How do you simplify #sqrt(6x) *sqrt(2x)#?

1 Answer
Guilherme N.
May 13, 2015

When you multiply two square roots, you can merge the product of them into one.

So, #sqrt(6x)*sqrt(2x) = sqrt(12x^2)#

We can simplify it as #sqrt(2*2*3*x*x)#

By definition of square roots, when a number is squared inside it, we can end up taking one out.

#2*x*sqrt(3)#

The final answer, therefore, is #2xsqrt(3)# :)

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