Question #6bd15

1 Answer
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.