Question

Please give a clear and detailed explanation

Answer 1

-40√3

Explanation:

First simplify the square root functions:

√12 = √4·3 = 2√3

√675 = √225·3 = 15√3

√75 = √25·3 = 5√3

Rewrite the equation:

5·2√3 - 7·15√3 + 11·5√3

= 10√3 - 105√3 + 55√3

= (10 - 105 + 55)√3 = -40√3

Answer 2

-40√3

Explanation:

√12=2√3

√675=15√3

√75=5√3

5√12 - 7√675 + 11√75 becomes:

5(2√3) - 7(15√3) + 11(5√3)

= 10√3 - 105√3 + 55√3

10√3 - 105√3 + 55√3 = -40√3