How do you simplify #sqrt(320)#?

1 Answer
sjc
Apr 18, 2018

#8sqrt5#

Explanation:

split the number into a product pair with one being a perfect square. If you can not find the largest perfect square to begin with, start with a smaller one

#sqrt320=sqrt(16xx20)#

#=sqrt16xxsqrt20=2sqrt20#

we continue this process until there are no more perfect squares

#4sqrt20=4sqrt(4xx5)#

#=4sqrt4sqrt5#

#=4xx2sqrt5#

#=8sqrt5#

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