Question

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

Answer 1

`-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)`

Answer 2

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`