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Surds and indices Practice Questions & Answers

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Which of the following la closest to $\sqrt{3}$

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Which of the following la closest to $\sqrt{3}$
1). $\frac{9}{5}$
2). 1.75
3). $\frac{173}{100}$
4). 1.69

-1 vote

The value of the expression $\sqrt{6+\sqrt{6+\sqrt{6+....upto...}}}$ is :

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The value of the expression $\sqrt{6+\sqrt{6+\sqrt{6+....upto...}}}$ is :
1). 5
2). 3
3). 2
4). 30

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$\frac{\sqrt{10+\sqrt{25+\sqrt{108+\sqrt{154+\sqrt{225}}}}}}{\sqrt[3]{8}}$ =

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$\frac{\sqrt{10+\sqrt{25+\sqrt{108+\sqrt{154+\sqrt{225}}}}}}{\sqrt[3]{8}}$ =
1). 4
2). 2
3). 8
4). $\frac{1}{2}$

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The value of $\sqrt{72+\sqrt{72+\sqrt{72+.....}}}$ is

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The value of $\sqrt{72+\sqrt{72+\sqrt{72+.....}}}$ is
1). 9
2). 8
3). 18
4). 12

0 vote

If m = $\sqrt{5+\sqrt{5+\sqrt{5+.....}}}$ and n = $\sqrt{5-\sqrt{5-\sqrt{5-.....}}}$ , then among the following the relation between m and n holds is

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If m = $\sqrt{5+\sqrt{5+\sqrt{5+.....}}}$ and n = $\sqrt{5-\sqrt{5-\sqrt{5-.....}}}$ , then among the following the relation between m and n holds is
1). m-n + 1 =0
2). m+n - 1 =0
3). m+n + 1 =0
4). m-n - 1 =0