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Surds and indices Practice Questions & Answers

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If $\sqrt{2}$ = 1.414 : Find the value of $2\sqrt{2}+\sqrt{2}+\frac{1}{2+\sqrt{2}}+\frac{1}{\sqrt{2}-2}$

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If $\sqrt{2}$ = 1.414 : Find the value of $2\sqrt{2}+\sqrt{2}+\frac{1}{2+\sqrt{2}}+\frac{1}{\sqrt{2}-2}$
1). 1.4144
2). 2.8284
3). 28.284
4). 2.4142

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Evaluate : $6\sqrt{\frac{3}{4}}-9\sqrt{\frac{4}{3}}$ , If $\sqrt{12}$=3.46

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Evaluate : $6\sqrt{\frac{3}{4}}-9\sqrt{\frac{4}{3}}$ , If $\sqrt{12}$=3.46
1). 3.46
2). 10.38
3). 13.84
4). 24.22

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Given that $\sqrt{2}$ = 1.414 : the value of $\frac{1}{\sqrt{2}+1}$ is

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Given that $\sqrt{2}$ = 1.414 : the value of $\frac{1}{\sqrt{2}+1}$ is
1). 0.414
2). 2.414
3). 3.414
4). 5.414

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Given that $\sqrt{5}$ =2.24, then the value of $\frac{3\sqrt{5}}{2\sqrt{5}-0.48}$ is

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Given that $\sqrt{5}$ =2.24, then the value of $\frac{3\sqrt{5}}{2\sqrt{5}-0.48}$ is
1). 0.168
2). 1.68
3). 16.8
4). 168

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Given that $\sqrt{5}$ =2.236 and $\sqrt{3}$ =1.732, the value of $\frac{1}{\sqrt{5}+\sqrt{3}}$ is

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Given that $\sqrt{5}$ =2.236 and $\sqrt{3}$ =1.732, the value of $\frac{1}{\sqrt{5}+\sqrt{3}}$ is
1). 0.504
2). 0.252
3). 0.362
4). 0.372