What is the square root of 5 times the square root of 60?

1 Answer
Sep 21, 2015

sqrt(5)xxsqrt(60) = 10sqrt(3)

Explanation:

color(red)(sqrt(5))xxcolor(blue)(sqrt(60))
color(white)("XXX")=color(red)(sqrt(5))xxcolor(blue)(sqrt(2^2xx5xx3))

color(white)("XXX")=color(red)(sqrt(5))xxcolor(blue) (2xxsqrt(5)xxsqrt(3))

color(white)("XXX")=color(red)(sqrt(5))xxcolor(blue)(sqrt(5))xx2sqrt(3)

color(white)("XXX")=5xx2sqrt(3)

color(white)("XXX")=10sqrt(3)