How do you simplify #5 sqrt8 times sqrt18#?

Question

1456 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-02-01T16:45:18

#5sqrt(8)xxsqrt(18) = 60#

Start by factoring the terms under the radicals.

#5xxsqrt(2xx2xx2)xxsqrt(2xx3xx3)#

We can now see that there are a couple of squares inside of the radicals.

#5xxsqrt(2^2xx2)xxsqrt(3^2xx2)#

Now we can move the squares out from under the radical signs.

#5xx2xxsqrt(2) xx 3xxsqrt(2)#

Multiply all of the terms outside of the radicals to combine them.

# 30 xx sqrt(2)xxsqrt(2)#

#= 30xx sqrt(2)^2#

Now we can get rid of the radicals.

#30xx2#

#=60#