How do you simplify #sqrt5(3sqrt5-4sqrt3)#?
1 Answer
Aug 8, 2018
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#