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QUESTION
What is the square root of 20 times the square root of 15?
##sqrt(4*5)*sqrt(15)=color(green)( 10sqrt 3 ~ 17.321##
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##
