Question

How would you simplify
3 times the square root of 72

Answer 1

Find The Square Root.

Answer 2

3 sqrt 72 = 3 sqrt (36 • 2) = 3 sqrt 36 sqrt 2 = 3(6) sqrt 2 = 18 sqrt 2

Answer 3

look for factors of 72 whcih are exact squares

72 = 2 * 36

3 * sqrt36 * sqrt2 = 3*6*sqrt2 = 18 sqrt2

Answer 4

\[\large 3\sqrt{72}\]\[\large 3 \sqrt{ \color{green}{6 \cdot 6} \cdot2}\]\[\large 3(\color{green}{6})\sqrt{2}\]\[\large 18\sqrt{2}\]