What should come in place of x in the followi | Square Roots and Cube Roots Questions & Answers

Q:

If $\sqrt{0.00000676} = 0.0026$ then $\sqrt{6760000}$ is:

A) 2.6	B) 26
C) 260	D) 2600

Answer & Explanation Answer: D) 2600

Explanation:

$\sqrt{6760000} = \sqrt{0.00000676 \times 10^{2}} = \sqrt{0.00000676} \times \sqrt{10^{2}} = 0.0026 \times 10^{6} = 2600$

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Q:

$\sqrt{0.01 + \sqrt{0.0064}} = ?$

A) 0.03	B) 0.3
C) 0.42	D) None of these

Answer & Explanation Answer: B) 0.3

Explanation:

$\sqrt{0.01 + \sqrt{0.0064}} = \sqrt{0.01 + \sqrt{\frac{64}{10000}}} = \sqrt{0.01 + \frac{8}{100}} = \sqrt{0.01 + 0.08} = 0.3$

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Q:

$1 . 5^{2} x \sqrt{0.0225} = ?$

A) 0.0375	B) 0.3375
C) 3.275	D) 32.75

Answer & Explanation Answer: B) 0.3375

Explanation:

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Q:

If $x \times y = x + y + \sqrt{x y}$ , the value of 6x24 is:

A) 41	B) 42
C) 43	D) 44

Answer & Explanation Answer: B) 42

Explanation:

$G i v e n x \times y = x + y + \sqrt{x y} H e r e x = 6, y = 24 T h e n, x \times y = 6 + 24 + \sqrt{6 x 24} 6 x 24 = 30 + \sqrt{144} = 30 + 12 = 42 .$

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7 2770

Q:

The value of $\sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + \sqrt{225}}}}}$ is:

A) 4	B) 6
C) 8	D) 10

Answer & Explanation Answer: A) 4

Explanation:

$\sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + \sqrt{225}}}}} \sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + 15}}}} \sqrt{10 + \sqrt{25 + \sqrt{108 + 13}}} \sqrt{10 + \sqrt{25 + 11}} \sqrt{10 + 6} \sqrt{16} = 4$

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26 6918

Q:

A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is:

A) 57	B) 67
C) 77	D) 87

Answer & Explanation Answer: C) 77

Explanation:

Money collected = (59.29 x 100) paise = 5929 paise.

Number of members = $\sqrt{5929}$ = 77.

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Q:

The cube root of .000216 is:

A) .6	B) .06
C) 77	D) 87

Answer & Explanation Answer: B) .06

Explanation:

${(. 000216)}^{\frac{1}{3}} = {(\frac{216}{10^{6}})}^{\frac{1}{3}} = {[\frac{6 * 6 * 6}{10^{2} * 10^{2} * 10^{2}}]}^{\frac{1}{3}} = [\frac{6}{10^{2}}] = 0.06$

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A) 13	B) 12
C) 17	D) 16

What should come in place of x in the following equation?

$\frac{x}{\sqrt{128}} = \frac{\sqrt{162}}{x}$

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What should come in place of x in the following equation? x128 = 162x

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What should come in place of x in the following equation?

$\frac{x}{\sqrt{128}} = \frac{\sqrt{162}}{x}$