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

1 Answer
Alan P.
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)#

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