Square Roots Practice Problems

**Page 1**

1.

Find the cube root of 125.

a. | 25 | ||

b. | 50 | ||

c. | 5 | ||

d. | 10 |

[

=

[125 can be written as 5 × 5 × 5 =

=

[

= 5

So, cube root of 125 is 5.

Correct answer : (3)

2.

Find the value of $n$, if $\sqrt{n}$ = 13.

a. | 121 | ||

b. | 151 | ||

c. | 169 | ||

d. | 159 |

(

[Square both sides.]

So, the value of

Correct answer : (3)

3.

If 7^{$n$} = 49, then find the value of $n$.

a. | 3 | ||

b. | 7 | ||

c. | 2 | ||

d. | 5 |

7

[Powers are equal, when bases are equal.]

So, the value of

Correct answer : (3)

4.

Approximate $\sqrt{21}$ to the nearest tenth.

a. | 3 | ||

b. | 4.6 | ||

c. | 4.5 | ||

d. | 3.5 |

From the calculator, the value of

In the decimal number, the digit in the tenths place is 5 and the digit in the hundredths place is 8.

Since 8 is greater than 5, the decimal 4.582 is closer to 4.6 than to 4.5.

Therefore,

Correct answer : (2)

5.

Approximate $\sqrt{218}$ to the nearest tenth.

a. | 14.42 | ||

b. | 14.8 | ||

c. | 14.7 | ||

d. | 14 |

From the calculator, the value of

In the decimal number, the digit in the tenths place is 7 and the digit in the hundredths place is 6.

Since 6 is greater than 5, the decimal 14.764 is closer to 14.8 than to 14.7.

Therefore,

Correct answer : (2)

6.

Choose the point that represents $\sqrt{2}$ on the number line.

a. | O | ||

b. | M | ||

c. | N | ||

d. | P |

Correct answer : (3)

7.

Choose the point that represents $\sqrt{5}$ on the number line.

a. | O | ||

b. | S | ||

c. | P | ||

d. | R |

Correct answer : (1)

8.

Identify the square root that the point represents on the number line.

a. | $\sqrt{8}$ | ||

b. | $\sqrt{19}$ | ||

c. | $\sqrt{26}$ | ||

d. | $\sqrt{6}$ |

Correct answer : (2)

9.

Choose the point that represents $\sqrt{6}$ on the number line.

a. | S | ||

b. | Q | ||

c. | P | ||

d. | R |

So, the point Q represents

Correct answer : (2)

10.

Find the estimate of $\sqrt{850}$.

a. | 25 | ||

b. | 32 | ||

c. | 29 | ||

d. | 20 |

Correct answer : (3)