What is the square root of 20 times the square root of 15?

1 Answer
Sep 8, 2015

Answer:

#sqrt(4*5)*sqrt(15)=color(green)( 10sqrt 3 ~ 17.321#

Explanation:

square root of 20 times the square root of 15 in mathematical terms can be written as #sqrt20 * sqrt15#

=#sqrt(4*5)*sqrt(15)#

We know that #color(blue)(sqrt(a*b) = sqrta*sqrtb)#

Hence =#sqrt(4*5)*sqrt(15) = sqrt4*sqrt5*sqrt3*sqrt5#

# = 2*(sqrt5)^2*sqrt3#

# = 2* 5 *sqrt3#

# =color(green)( 10sqrt 3#