How do you simplify sqrt5(3sqrt5-4sqrt3)?

1 Answer
Jim G.
Aug 8, 2018

15-4sqrt15

Explanation:

"using the "color(blue)"laws of radicals"

•color(white)(x)sqrtaxxsqrtbhArrsqrt(ab)

•color(white)(x)sqrtaxxsqrta=(sqrta)^2=a

"distribute the bracket"

=3(sqrt5)^2-4sqrt(5xx3)

=(3xx5)-4sqrt15=15-4sqrt15

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