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Surds and indices Practice Questions & Answers

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$\sqrt{2+\sqrt{2+\sqrt{2+.....}}}$ is equal to

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$\sqrt{2+\sqrt{2+\sqrt{2+.....}}}$ is equal to
1). $\sqrt{2}$
2). $2\sqrt{2}$
3). 2
4). 3

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$\sqrt{1+\sqrt{1+\sqrt{1+.....}}}$

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$\sqrt{1+\sqrt{1+\sqrt{1+.....}}}$
1). equals 1
2). lies between 0 and 1
3). lies between 1 and 2
4). is greater than 2

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The quotient when $10^{100}$ is divided by $5^{75}$ is

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The quotient when $10^{100}$ is divided by $5^{75}$ is
1). $2^{25}\times 10^{75}$
2). $10^{25}$
3). $2^{75}$
4). $2^{75}\times 10^{25}$

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The exponential form of $\sqrt{\sqrt{2}\times \sqrt{3}}$ is

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The exponential form of $\sqrt{\sqrt{2}\times \sqrt{3}}$ is
1). 6
2). $6^{\frac{1}{2}}$
3). $6^{-\frac{1}{2}}$
4). $6^{\frac{1}{4}}$

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The unit digit in the product $(2467)^{155}\times (341)^{72}$ is

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The unit digit in the product $(2467)^{155}\times (341)^{72}$ is
1). 7
2). 3
3). 9
4). 1