How simplify #2msqrt(700m^4)-msqrt(175m^4)#?

1 Answer
Binayaka C.
Oct 18, 2017

#15sqrt7m^3#

Explanation:

#2m sqrt(700m^4) - msqrt(175m^4) #

#= 2m sqrt(10^2*7*m^4) - msqrt(5^2*7*m^4) #

#= 2m*10*m^2sqrt7 - m*5*m^2sqrt7 #

#= 20m^3*sqrt7 - 5m^3*sqrt7 #

#= 5m^3*sqrt7(4-1)= 5m^3*sqrt7*3#

#15*m^3*sqrt7 =15sqrt7m^3# [Ans]

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