Square Roots and Cube Roots Questions and Answers

Q:

If $\sqrt{18225} = 135$ , then the value of $(\sqrt{182.25} + \sqrt{1.8225} + \sqrt{0.018225} + \sqrt{0.00018225})$ is:

A) 1.49985	B) 14.9985
C) 149.985	D) 1499.85

Answer & Explanation Answer: B) 14.9985

Explanation:

Given exp = $\sqrt{\frac{18225}{10^{2}}} + \sqrt{\frac{18225}{10^{4}}} + \sqrt{\frac{18225}{10^{6}}} + \sqrt{\frac{18225}{10^{8}}}$

= $\frac{\sqrt{18225}}{10} + \frac{\sqrt{18225}}{10^{2}} + \frac{\sqrt{18225}}{10^{3}} + \frac{\sqrt{18225}}{10^{4}}$

= $\frac{135}{10} + \frac{135}{100} + \frac{135}{1000} + \frac{135}{10000}$

= 13.5+1.35+0.135+0.0135=14.9985

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25 6526

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:

If x = $7 - 4 \sqrt{3} t h e n f i n d t h e v a l u e o f (x + \frac{1}{x}) ?$

A) 3sqrt{3}	B) 8sqrt{3}
C) 14	D) 14+8sqrt{3}

Answer & Explanation Answer: C) 14

Explanation:

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44 5132

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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11 4821

Q:

$\frac{3 + \sqrt{6}}{5 \sqrt{3} - 2 \sqrt{12} - \sqrt{30} + \sqrt{50}} = ?$

A) 3	B) 3sqrt{2}
C) 6	D) None of these

Answer & Explanation Answer: D) None of these

Explanation:

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22 4565

Q:

Cube root of 729 then square it

A) 9	B) 36
C) 81	D) 144

Answer & Explanation Answer: C) 81

Explanation:

729 = 9 x 9 x 9

=> Cube root of 729 = 9

Now, required square of 9 = 9 x 9 = 81.

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4 4482

Q:

$28 \sqrt{?} + 1426 = \frac{3}{4} o f 2872$

A) 576	B) 676
C) 1296	D) 1444

Answer & Explanation Answer: B) 676

Explanation:

$L e t 28 \sqrt{x} + 1426 = 3 \times 718$

Then $28 \sqrt{x} = 2154 - 1426$

$\Rightarrow 28 \sqrt{x} = 728 \Rightarrow \sqrt{x} = 26$

$∴ x = 676$

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Q:

$\sqrt{\frac{0.204 \times 42}{0.07 \times 3.4}}$ is equal to:

A) 1/6	B) 0.06
C) 0.6	D) 6

Answer & Explanation Answer: D) 6

Explanation:

$\sqrt{\frac{0.204 \times 42}{0.07 \times 3.4}} = \sqrt{\frac{8568}{238}} = \sqrt{36} = 6$

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Square Roots and Cube Roots Questions

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