How do you simplify sqrt2(5+sqrt8)?

1 Answer
Alan P.
Jan 5, 2017

sqrt(2)(5+sqrt(8))=color(green)(5sqrt(2)+4)

Explanation:

sqrt(2)(5+sqrt(8))
color(white)("XXX")=sqrt(2) * 5 + sqrt(2) * sqrt(8) (distributive property)

color(white)("XXX")=5sqrt(2)+sqrt(16)

color(white)("XXX")=5sqrt(2)+4

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