How do you add square root 3 + square root 12 - 4squareroot 75?

2 Answers
Archish R.
May 5, 2018

#-17sqrt(3)#

Explanation:

#sqrt(3)+sqrt(12)-4*sqrt(75)#

#=sqrt(3)+sqrt(3*2^2)-4*sqrt(3*5^2)#

#=sqrt(3)+2sqrt(3)-20*sqrt(3)#

#=-17*sqrt(3)#

Roy Ø.
May 5, 2018

The answer will be #-17 sqrt 3#, as shown by the calculation below.

Explanation:

#sqrt 3 + sqrt 12 - 4 sqrt 75#
=#sqrt 3 + sqrt (4*3) - 4 sqrt (25*3)#
=#sqrt 3 + sqrt 4 sqrt 3 - 4 sqrt 25 sqrt 3#
=#sqrt 3 + 2 sqrt 3 - 4*5 sqrt 3#
=#(1+2-20)sqrt 3#
=#-17 sqrt 3#

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