Square Root Worksheet

**Page 1**

1.

Between which two consecutive integers does $\sqrt{155}$ fall?

a. | 10 and 11 | ||

b. | 11 and 12 | ||

c. | 13 and 14 | ||

d. | 12 and 13 |

The least perfect square greater than 155 is 169 = 13

Correct answer : (4)

2.

Find the square root of 16.

a. | 8 | ||

b. | 256 | ||

c. | 64 | ||

d. | 4 |

[Represent the square root using the radical symbol.]

=

[4

= 4

So, the square root of 16 is 4.

Correct answer : (4)

3.

Find the square root of 121.

a. | 14,641 | ||

b. | 11 | ||

c. | 21 | ||

d. | 242 |

[Represent the square root using the radical symbol.]

=

[11

= 11

So, the square root of 121 is 11.

Correct answer : (2)

4.

Find the square root of 324.

a. | 16 | ||

b. | 17 | ||

c. | 14 | ||

d. | 18 |

324 = 18

Square root of 324 = 18

Correct answer : (4)

5.

Find the square of 14.

a. | 56 | ||

b. | 196 | ||

c. | 156 | ||

d. | 28 |

Square of 14 is 14 × 14 = 196.

Therefore, square of 14 is 196.

Correct answer : (2)

6.

Find the square root of 784.

a. | 28 | ||

b. | 13 | ||

c. | 18 | ||

d. | 22 |

784 = 28

Square root of 784 = 28

Correct answer : (1)

7.

Find the square root of 225.

a. | 25 | ||

b. | 15 | ||

c. | 18 | ||

d. | 35 |

225 = 15

Square root of 225 = 15

Correct answer : (2)

8.

Which number line represents $\sqrt{49}$?

a. | Figure 3 | ||

b. | Figure 2 | ||

c. | Figure 1 | ||

d. | Figure 4 |

[7

As 7 is a positive number, it will be 7 units to the right of 0 on the number line.

[Negative numbers will be to the left of 0 and positive numbers will be to the right of 0 on the number line.]

So, 7 is represented on the number line as shown.

Correct answer : (3)

9.

Which number line represents $\sqrt{64}$?

a. | Figure 1 | ||

b. | Figure 3 | ||

c. | Figure 4 | ||

d. | Figure 2 |

[8

As 8 is a positive number, it will be 8 units to the right of 0 on the number line.

[Negative numbers will be to the left of 0 and positive numbers will be to the right of 0 on the number line.]

So, 8 is represented on the number line as shown.

Correct answer : (1)

10.

Between which two consecutive integers does $\sqrt{230}$ lie?

a. | 17 and 18 | ||

b. | 16 and 17 | ||

c. | 14 and 15 | ||

d. | 15 and 16 |

The least perfect square which is greater than 230 is 256 = 16

Correct answer : (4)