How do you simplify #50 sqrt 8#?

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How do you simplify #50 sqrt 8#?

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Answer 1 · 2016-03-18T15:34:53

#100sqrt2#

Explanation:

You have to split the #sqrt8# bit into its prime factors which are #sqrt(2*2*2)#
So #50sqrt8# = #50sqrt(2*2*2)#
but the #sqrt(2*2)# = 2
and #50sqrt(2*2*2)# = #50*2(sqrt2)# = #100sqrt2#

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How do you simplify #50 sqrt 8#?

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