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Surds and indices Practice Questions & Answers

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Given that $\sqrt{3}$ =1.732, then the value of $\frac{3 + \sqrt{6}}{5\sqrt{3}-2\sqrt{12}-\sqrt{32}+\sqrt{50}}$ is :

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Given that $\sqrt{3}$ =1.732, then the value of $\frac{3 + \sqrt{6}}{5\sqrt{3}-2\sqrt{12}-\sqrt{32}+\sqrt{50}}$ is :
1). 4.899
2). 2.551
3). 1.414
4). 1.732

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If $\sqrt{3}$ =1.732, then what is the value of $\frac{4+3\sqrt{3}}{\sqrt{7+4\sqrt{3}}}$ upto three places of decimal

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If $\sqrt{3}$ =1.732, then what is the value of $\frac{4+3\sqrt{3}}{\sqrt{7+4\sqrt{3}}}$ upto three places of decimal
1). 0.023
2). 0.464
3). 2.464
4). 3.023

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If $\sqrt{15}$ = 3.88. then what is the value of $\sqrt{\frac{5}{3}}$

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If $\sqrt{15}$ = 3.88. then what is the value of $\sqrt{\frac{5}{3}}$
1). $1.295\overline{3}$
2). 1.2934
3). 1.29
4). 1.295

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Given $\sqrt{2}$ =1.414. The value of $\sqrt{8}+2\sqrt{32}-3\sqrt{128}+4\sqrt{50}$ is

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Given $\sqrt{2}$ =1.414. The value of $\sqrt{8}+2\sqrt{32}-3\sqrt{128}+4\sqrt{50}$ is
1). 8.484
2). 8.526
3). 8.426
4). 8.876

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The greatest number among $3^{50}$,$4^{40}$,$5^{30}$ and $6^{20}$ is :

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The greatest number among $3^{50}$,$4^{40}$,$5^{30}$ and $6^{20}$ is :
1). $3^{50}$
2). $4^{40}$
3). $5^{30}$
4). $6^{20}$