Simplify:
√72 + √20 - √18

Question

Accepted Answer

1. Factor each root:
   - $\sqrt{72}=\sqrt{36\cdot2}=6\sqrt{2}$
   - $\sqrt{20}=\sqrt{4\cdot5}=2\sqrt{5}$
   - $\sqrt{18}=\sqrt{9\cdot2}=3\sqrt{2}$
2. Substitute: $6\sqrt{2}+2\sqrt{5}-3\sqrt{2}$.
3. Combine like terms: $(6\sqrt{2}-3\sqrt{2})+2\sqrt{5}=3\sqrt{2}+2\sqrt{5}$.
4. So the simplified form is **$3\sqrt{2}+2\sqrt{5}$** which is option **(b)**.
FINAL_ANSWER: b

Answer

Answer

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