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Lapatulllka [165]
2 years ago
6

Simplify the surd 3√ 20 +√ 45 ​

Mathematics
2 answers:
vagabundo [1.1K]2 years ago
4 0
9/- 7dndusjjsjddkkdkdksksjdid
melisa1 [442]2 years ago
3 0

Answer:

9\sqrt{5}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Simplify the radicals

\sqrt{20}

= \sqrt{4(5)}

= \sqrt{4} × \sqrt{5}

= 2\sqrt{5}

\sqrt{45}

= \sqrt{9(5)}

= \sqrt{9} × \sqrt{5}

= 3\sqrt{5}

Then

3\sqrt{20} + \sqrt{45}

= 3(2\sqrt{5} ) + 3\sqrt{5}

= 6\sqrt{5} + 3\sqrt{5}

= 9\sqrt{5}

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