How do you simplify sqrt5(3sqrt5-4sqrt3)√5(3√5−4√3)?
1 Answer
Aug 8, 2018
Explanation:
"using the "color(blue)"laws of radicals"using the laws of radicals
•color(white)(x)sqrtaxxsqrtbhArrsqrt(ab)∙x√a×√b⇔√ab
•color(white)(x)sqrtaxxsqrta=(sqrta)^2=a∙x√a×√a=(√a)2=a
"distribute the bracket"distribute the bracket
=3(sqrt5)^2-4sqrt(5xx3)=3(√5)2−4√5×3
=(3xx5)-4sqrt15=15-4sqrt15=(3×5)−4√15=15−4√15
