How do you simplify 50 sqrt 850√8?

1 Answer
Barbara
Mar 18, 2016

100sqrt2100√2

Explanation:

You have to split the sqrt8√8 bit into its prime factors which are sqrt(2*2*2)√2⋅2⋅2
So 50sqrt850√8 = 50sqrt(2*2*2)50√2⋅2⋅2
but the sqrt(2*2)√2⋅2 = 2
and 50sqrt(2*2*2)50√2⋅2⋅2 = 50*2(sqrt2)50⋅2(√2) = 100sqrt2100√2

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