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in Real Numbers by (47.4k points)
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Is it interesting to see this pattern?

\(\sqrt{4\frac{4}{15}}=4\sqrt{\frac{4}{15}}\) and \(\sqrt{5\frac{5}{24}}=5\sqrt{\frac{5}{24}}\)

Verify it. Can you frame 4 such new surds?

1 Answer

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Best answer

(i) \(\sqrt{6\frac{6}{35}}=6\sqrt{\frac{6}{35}}\)

(ii) \(\sqrt{7\frac{7}{48}}=7\sqrt{\frac{7}{48}}\)

(iii) \(\sqrt{8\frac{8}{63}}=8\sqrt{\frac{8}{63}}\)

(iv) \(\sqrt{9\frac{9}{80}}=9\sqrt{\frac{9}{80}}\)

(v) \(\sqrt{10\frac{10}{99}}=10\sqrt{\frac{10}{99}}\)

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