Simplify:
√72 - √18 + √50

Question

Accepted Answer

1. Write each root as a multiple of $\sqrt{2}$:
   - $\sqrt{72}=\sqrt{36\cdot2}=6\sqrt{2}$
   - $\sqrt{18}=\sqrt{9\cdot2}=3\sqrt{2}$
   - $\sqrt{50}=\sqrt{25\cdot2}=5\sqrt{2}$
2. Substitute into the expression: $6\sqrt{2}-3\sqrt{2}+5\sqrt{2}$.
3. Combine like terms: $(6-3+5)\sqrt{2}=8\sqrt{2}$.
4. So the simplified result is $8\sqrt{2}$, which is option **(a)**.

FINAL_ANSWER: a

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Answer

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