Question #6bd15

1 Answer
Y
May 16, 2017

Answer: #6sqrt(2)#

Explanation:

Evaluate: #3*sqrt(8)#
(Assuming question meant square root)

Note that #sqrt(a^2)=a#

We can only take out squares out of a square root, so we first write out the prime factorization of 8 inside the root:
#3*sqrt(2^3)#

We can see that there is one square, #2^2#, which we can take out:
#3*2*sqrt(2)#

Now, we can simplify:
#6sqrt(2)#

which is our final answer.

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