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DiKsa [7]
3 years ago
9

ARAT TIETE (Simplify): V125 - V45+ V5​

Mathematics
1 answer:
Nataly [62]3 years ago
6 0

Answer:

3\sqrt{5}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Simplifying the radicals

\sqrt{125}

= \sqrt{25(5)}

= \sqrt{25} × \sqrt{5} = 5\sqrt{5}

\sqrt{45}

= \sqrt{9(5)}

= \sqrt{9} × \sqrt{5} = 3\sqrt{5}

Then

\sqrt{125} - \sqrt{45} + \sqrt{5}

= 5\sqrt{5} - 3\sqrt{5} + \sqrt{5} ← collect like terms

= 3\sqrt{5}

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