Simplify: √72 - √18 + √50
A8√2
B7√2
C6√2
D5√2
Answer:
A. 8√2
Read Explanation:
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}
]