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

1 Answer
Mar 1, 2017

Answer:

#4sqrt6#

Explanation:

#5sqrt6-3sqrt24+sqrt150#

Write down the factors within each square root sign.

#5sqrt(2*3)-3sqrt(2*2*2*3)+sqrt(5*5*2*3)#

Remove the squares from the square root signs.

#5sqrt(2*3)-(3xx2)sqrt(2*3)+5sqrt(2*3)#

Simplify.

#5sqrt6-6sqrt6+5sqrt6#

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

#(5-6+5)sqrt6#

#4sqrt6#