How do you evaluate 5\sqrt { 6} - 3\sqrt { 24} + \sqrt { 150}56324+150?

1 Answer
Mar 1, 2017

4sqrt646

Explanation:

5sqrt6-3sqrt24+sqrt15056324+150

Write down the factors within each square root sign.

5sqrt(2*3)-3sqrt(2*2*2*3)+sqrt(5*5*2*3)52332223+5523

Remove the squares from the square root signs.

5sqrt(2*3)-(3xx2)sqrt(2*3)+5sqrt(2*3)523(3×2)23+523

Simplify.

5sqrt6-6sqrt6+5sqrt65666+56

Keeping the square root separate, add or subtract the whole numbers according to their preceding signs.

(5-6+5)sqrt6(56+5)6

4sqrt646