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Surds and indices Practice Questions & Answers

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If x = $\frac{1}{\sqrt{2}+1}$ , then (x+1) is equal to

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If x = $\frac{1}{\sqrt{2}+1}$ , then (x+1) is equal to
1). 2
2). $\sqrt{2}$
3). $\sqrt{2}+1$
4). $\sqrt{2}-1$

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A man is bom in the year 1896 A.D. If In the year $x^{2}$ A.D. , his age is x- 4, the value of x is

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A man is bom in the year 1896 A.D. If In the year $x^{2}$ A.D. , his age is x- 4, the value of x is
1). 40
2). 44
3). 36
4). 42

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$9\sqrt{x}$=$\sqrt{12}+\sqrt{147}$ , then x=

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$9\sqrt{x}$=$\sqrt{12}+\sqrt{147}$ , then x=
1). 5
2). 3
3). 2
4). 4

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If the product of first fifty positive consecutive integers be divisible by $7^{n}$. where n is an Integer. then the largest possible value of n is

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If the product of first fifty positive consecutive integers be divisible by $7^{n}$. where n is an Integer. then the largest possible value of n is
1). 7
2). 8
3). 10
4). 5

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The number, which when multiplies with $(\sqrt{3}+\sqrt{2})$ gives $(\sqrt{12}+\sqrt{18})$ is :

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The number, which when multiplies with $(\sqrt{3}+\sqrt{2})$ gives $(\sqrt{12}+\sqrt{18})$ is :
1). $3\sqrt{2}-2\sqrt{3}$
2). $3\sqrt{2}+2\sqrt{3}$
3). $\sqrt{6}$
4). $2\sqrt{3}-3\sqrt{2}$