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Ahat [919]
3 years ago
13

Simplify i will give u 15 points instead of 10

Mathematics
1 answer:
Anit [1.1K]3 years ago
5 0

Hello,

First of all , let's see that

4=2^2\leq 5\leq 9=3^2\\\\2\leq \sqrt{5}\leq 3\\ \\\text{so } (1-\sqrt{5})\leq 0\\ \\\\\text{Then } \sqrt{(1-\sqrt{5})^2}=|1-\sqrt{5}|=\sqrt{5}-1

So,

\sqrt{6(1-\sqrt{5})^2}=\sqrt{6}(\sqrt{5}-1)=\sqrt{30}-\sqrt{6}

Thanks

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