ESIC Upper Division Clerk (UDC) & Stenographer Phase-1>Chapter 28 - Square Root, Cube Root and Surds>Practice Questions>Q 22

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The students present in an auditorium are asked to stand in rows. If there were $4$ students extra in a row there would be $4$ less rows. However, if $2$ students were less in a row, there would be $4$ more rows. The number of students present in the auditorium is?

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Important Questions on Square Root, Cube Root and Surds

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ESIC Upper Division Clerk (UDC) & Stenographer Phase-1>Chapter 28 - Square Root, Cube Root and Surds>Practice Questions>Q 23

If

x = \frac{\sqrt{126} \times \sqrt{63} \times \sqrt{45}}{\sqrt{147} \times \sqrt{243}},

then the value of

x

is?

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ESIC Upper Division Clerk (UDC) & Stenographer Phase-1>Chapter 28 - Square Root, Cube Root and Surds>Practice Questions>Q 24

Find the value of

\sqrt{20 + \sqrt{20 + \sqrt{20 + \sqrt{20 + \dots \dots \dots \dots \dots \dots}}}} = ?

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ESIC Upper Division Clerk (UDC) & Stenographer Phase-1>Chapter 28 - Square Root, Cube Root and Surds>Practice Questions>Q 25

Find the value of

\sqrt{4 \sqrt{4 \sqrt{4 \sqrt{4 \dots \dots \dots \dots \dots \dots}}}} = ?

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ESIC Upper Division Clerk (UDC) & Stenographer Phase-1>Chapter 28 - Square Root, Cube Root and Surds>Practice Questions>Q 26

If

a = \frac{\sqrt{3} + \sqrt{2}}{\sqrt{3} - \sqrt{2}},

then the value of

a + \frac{1}{a} = ?

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ESIC Upper Division Clerk (UDC) & Stenographer Phase-1>Chapter 28 - Square Root, Cube Root and Surds>Practice Questions>Q 27

If

a = \frac{\sqrt{2} + 1}{\sqrt{2} - 1}

and

b = \frac{\sqrt{2} - 1}{\sqrt{2} + 1},

then the value of

a^{2} + b^{2} = ?

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ESIC Upper Division Clerk (UDC) & Stenographer Phase-1>Chapter 28 - Square Root, Cube Root and Surds>Practice Questions>Q 28

If

a = \frac{\sqrt{3} + 1}{\sqrt{3} - 1}

and

b = \frac{\sqrt{3} - 1}{\sqrt{3} + 1},

then the value of

(\frac{a^{2} + a b + b^{2}}{a^{2} - a b + b^{2}}) = ?

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ESIC Upper Division Clerk (UDC) & Stenographer Phase-1>Chapter 28 - Square Root, Cube Root and Surds>Practice Questions>Q 29

If

x = \sqrt{12 + \sqrt{12 + \sqrt{12 + \sqrt{12 + \dots \dots \dots \dots \dots \dots}}}}

and

y = \sqrt{12 - \sqrt{12 - \sqrt{12 - \sqrt{12 - \dots \dots \dots \dots \dots \dots}}}}

then the value of

x - y = ?

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ESIC Upper Division Clerk (UDC) & Stenographer Phase-1>Chapter 28 - Square Root, Cube Root and Surds>Practice Questions>Q 30

If

x = 64

, then the value of

\frac{\sqrt{x} - \sqrt[3]{x}}{2} = ?