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# Square Root and Cube Root Questions

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31 / 74

Choose the correct option.

$$\sqrt{0.00004761}$$ equals:

A0.00069

B0.0069

C0.0609

D0.069

Explanation:

$$\sqrt{0.00004761}=\sqrt{\frac{4761}{10^8}}=\frac{\sqrt{4761}}{\sqrt{10^8}}=\frac{69}{10^4}=\frac{69}{10000}=0.0069$$

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32 / 74

Choose the correct option.

$$1.5^2\times\sqrt{0.0225}=?$$

A0.0375

B0.3375

C3.275

D32.75

Explanation:

$$1.5^2\times\sqrt{0.0225}=1.5^2\times\sqrt{\frac{225}{10000}}=2.25\times\frac{15}{100}$$
$$=2.25\times0.15=0.3375$$

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33 / 74

Choose the correct option.

The value of $$\sqrt{0.01}+\sqrt{0.81}+\sqrt{1.21}+\sqrt{0.0009 }$$ is:

A2.03

B2.1

C2.11

D2.13

Explanation:

$$=\sqrt{\frac{1}{100}}+\sqrt{\frac{81}{100}}+\sqrt{\frac{121}{100}}+\sqrt{\frac{9}{10000}}$$
$$=\frac{1}{10}+\frac{9}{10}+\frac{11}{10}+\frac{3}{100}=0.1+0.9+1.1+0.03=2.13$$

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34 / 74

Choose the correct option.

$$\sqrt{.0025}\times\sqrt{2.25}\times\sqrt{.0001}=?$$

A0.000075

B0.0075

C0.075

DNone of these

Explanation:

$$\sqrt{\frac{25}{10000}}\times\sqrt{\frac{225}{100}}\times\sqrt{\frac{1}{10000}}$$
$$\frac{5}{100}\times\frac{15}{10}\times\frac{1}{100}=\frac{75}{100000}=0.00075$$

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35 / 74

Choose the correct option.

$$\sqrt{1.5625}$$

A1.05

B1.25

C1.45

D1.55

Explanation:

Here is no explanation for this answer

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36 / 74

Choose the correct option.

Given that $$\sqrt{13}=3.605$$ and $$\sqrt{130}=11.40$$, Finf the value of $$\sqrt{1.3}+\sqrt{1300}+\sqrt{0.013}$$.

A36.164

B36.304

C37.164

D37.304

Explanation:

$$\sqrt{1.30}+\sqrt{1300}+\sqrt{0.0130}=\sqrt{\frac{130}{100}}+\sqrt{13\times100}+\sqrt{\frac{130}{10000}}$$
$$=\frac{\sqrt{130}}{10}+\sqrt{13}\times10+\frac{\sqrt{130}}{100}$$
$$=\frac{11.40}{10}+3.605\times10+\frac{11.40}{100}$$
$$=1.14+36.05+0.114=37.304$$

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37 / 74

Choose the correct option.

If $$\frac{52}{x}=\sqrt{\frac{169}{289}}$$, the value of x is

A52

B58

C62

D68

Explanation:

$$\frac{52}{x}=\sqrt{\frac{169}{289}}\Leftrightarrow \frac{52}{x}=\frac{13}{17} \Leftrightarrow x=\left( \frac{52\times17}{13}\right)=68$$

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Choose the correct option.

For what value of * the statement $$\left(\frac{*}{15}\right)\left(\frac{*}{135}\right)=1$$ is true?

A15

B25

C35

D45

Explanation:

Let the missing number be x
then, $$x^2=15\times135 \Leftrightarrow x=\sqrt{15\times135}=\sqrt{15^2\times3^2}$$
$$=15\times3=45$$

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39 / 74

Choose the correct option.

What should come in place of both the question marks in the equation $$\frac{?}{\sqrt{128}}=\frac{\sqrt{162}}{?}$$.

A12

B14

C144

D196

Explanation:

let $$\frac{x}{\sqrt{128}}=\frac{\sqrt{162}}{x}$$
then, $$x^2=\sqrt{128\times162}=\sqrt{64\times2\times18\times9}$$
$$=\sqrt{8^2\times6^2\times3^2}=8\times6\times3=144$$
$$so, x=\sqrt{144}=12$$

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Choose the correct option.

If $$0.13\div p^2= 13$$, then p equals :

A0.01

B0.1

C10

D100

Explanation:

$$\frac{0.13}{p^2}=13 \Leftrightarrow p^2=\frac{0.13}{13}=\frac{1}{100} \Leftrightarrow p=\sqrt{\frac{1}{100}}=\frac{1}{100}$$
$$=\frac{1}{10}=0.1$$

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