Question

Simplify: √72 - √18 + √50

• A. 8√2
• B. 7√2
• C. 6√2
• D. 5√2

Answer 1

Answer:

A. 8√2

Simplify:

$\sqrt{72}-\sqrt{18}+\sqrt{50}$

Break each square root into perfect squares:

$\sqrt{72}=\sqrt{36\times2}=6\sqrt2$
$\sqrt{18}=\sqrt{9\times2}=3\sqrt2$
$\sqrt{50}=\sqrt{25\times2}=5\sqrt2$

Now substitute:

$6\sqrt2-3\sqrt2+5\sqrt2$
$=(6-3+5)\sqrt2$
$=8\sqrt2$

Answer:

$\boxed{8\sqrt2}$