How do you simplify 7sqrt(63m^3p)?

1 Answer
Mar 9, 2018

7sqrt(63m^3p)=color(blue)(21msqrt(7mp))

Explanation:

63=7xx9=7xx3^2

m^3=mxxm^2

Therefore 7sqrt(63m^3p)

color(white)("XXX")=7sqrt(7xx3^2xxmxxm^2xxp)

color(white)("XXX")=7 * sqrt((3m)^2) * sqrt(7mp)

color(white)("XXX")=7 * (3m) * sqrt(7mp)

color(white)("XXX")=21msqrt(7mp)