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

2 Answers
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)

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