How do you simplify #-3sqrt20-sqrt5#?

1 Answer
Jul 21, 2018

Answer:

#-7sqrt5#

Explanation:

#"using the "color(blue)"law of radicals"#

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

#-3sqrt20=-3(sqrt(4xx5))#

#color(white)(-3sqrt20)=-3(sqrt4xxsqrt5)#

#color(white)(-3sqrt20)=-3(2sqrt5)=-6sqrt5#

#-3sqrt20-sqrt5#

#=-6sqrt5-sqrt5=-7sqrt5#