How do you simplify 3 times the square root of 20 + 2 times the square root of 45?

2 Answers
Mar 10, 2018

Answer:

#12sqrt5#

Explanation:

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

#•color(white)(x)sqrt(ab)hArrsqrtaxxsqrtb#

#rArr3sqrt20+2sqrt45#

#=(3xxsqrt(4xx5))+(2xxsqrt(9xx5))#

#=(3xxsqrt4xxsqrt5)+(2xxsqrt9xxsqrt5)#

#=(3xx2xxsqrt5)+(2xx3xxsqrt5)#

#=6sqrt5+6sqrt5#

#=12sqrt5#

Mar 10, 2018

Answer:

#12sqrt5#

Explanation:

#sqrt20= 2sqrt5#
#3*2sqrt5#
#6sqrt5#

#sqrt45= 3sqrt5#
#2*3sqrt5=6sqrt5#

#6sqrt5 +6sqrt5= 12sqrt5#