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Fudgin [204]
2 years ago
12

Simplify-6√20+2√45+7√5 show Woking out to prove ans please​

Mathematics
1 answer:
Dmitry_Shevchenko [17]2 years ago
6 0

Answer:

\sqrt{5}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Simplifying 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}

Thus

- 6(2\sqrt{5}) + 2(3\sqrt{5}) + 7\sqrt{5}

= - 12\sqrt{5} + 6\sqrt{5} + 7\sqrt{5}

= \sqrt{5}

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