Question
Simplify : $8 \sqrt{5}+\sqrt{20}-\sqrt{125}$
✓
Answer
$
\begin{aligned}
8 \sqrt{5}+\sqrt{20}-\sqrt{125} & =8 \sqrt{5}+\sqrt{4 \times 5}-\sqrt{25 \times 5} \\
= & 8 \sqrt{5}+2 \sqrt{5}-5 \sqrt{5} \\
= & (8+2-5) \sqrt{5} \\
= & 5 \sqrt{5}
\end{aligned}
$
\begin{aligned}
8 \sqrt{5}+\sqrt{20}-\sqrt{125} & =8 \sqrt{5}+\sqrt{4 \times 5}-\sqrt{25 \times 5} \\
= & 8 \sqrt{5}+2 \sqrt{5}-5 \sqrt{5} \\
= & (8+2-5) \sqrt{5} \\
= & 5 \sqrt{5}
\end{aligned}
$
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