Square Roots

Q.

Find the square root of $64$ by repeated subtraction method.

Q. Between which two consecutive whole numbers does $\sqrt{95}$lie?

1. 9 and 10
2. 10 and 11
3. 7 and 8
4. 8 and 9

Q. While finding the square root of 81 by repeated subtraction, in which step does 17 occur?

1. 3${}^{rd}$
2. 8${}^{th}$
3. 6${}^{th}$
4. 5${}^{th}$

Q. Find the square root of:
(i) 0.0169
(ii) $96\frac{1}{25}$

Q. Find the square root of 81 by successive subtraction method.

Q.

There is a chessboard whose area is 576 square units. What is the length of the side of an individual check box ?

1. 3

2. 24

3. 15

4. 16

Q.

Without doing any calculation, find the numbers which are surely not perfect squares. $\left(\mathrm{iii}\right)408$

Q. If there are 27912 people to be arranged in the form of a square, how many people should be left out?

1. 7
2. 12
3. 18
4. 23

Q.

Question 23

Write the correct answer from the given four options.

The value of $\sqrt{248+\sqrt{52+\sqrt{144}}}$ is

a) 14
b) 12
c) 16
d) 13

Q. Find the square root of $576$ by the long division method.
[3 marks]

Q. The approximate value of the square root of 285 = .

1. 15
2. 16
3. 17
4. 18

Q. $\sqrt{80}=$ _____

1. $\sqrt{16}\times \sqrt{5}$
2. $\sqrt{18}\times \sqrt{5}$
3. $\sqrt{15}\times \sqrt{6}$
4. $\sqrt{14}\times \sqrt{5}$

Q.

If a natural number 'm' can be expressed as $n^2$, where n is a ___ number, then 'm' is a square number.

1. natural

2. integer
3. negative

4. decimal

Q.

Square root of a natural number is always a natural number.

1. True

2. False

Q.

Find the number of steps required to find the square root of 169 by repeated subtraction method.

1. 9
2. 11
3. 13
4. 15

Q. While finding the square root of 121 by repeated subtraction, in which step does 85 occur?

1. 3${}^{rd}$
2. 8${}^{th}$
3. 6${}^{th}$
4. 5${}^{th}$

Q.

What is the square root of 49?

1. 7

2. 6

3. 8

4. 5

Q.

What is the square root of 49?

1. 7

2. 6

3. 8

4. 5

Q.

What is the square root of 100?

1. 10

2. 100

3. 25

4. 1/10

Q. What is the value of $\sqrt{10+\sqrt{25+\sqrt{108+\sqrt{154+\sqrt{225}}}}}$?

1. 4
2. 6
3. 8
4. 10

Q. Which of the following numbers is not a perfect square?

1. 225
2. 256
3. 289
4. 302

Q.

Match the following with their square roots.

$\begin{array}{cc}Numbers& Squareroots\\ 1.289& a.22\\ 2.1225& b.17\\ 3.196& c.35\\ 4.484& d.14\end{array}$

1. 1-b, 2-c, 3-d, 4-a

2. 1-c, 2-b, 3-d, 4-a

3. 1-b, 2-c, 3-a, 4-d

4. 1-b, 2-d, 3-c, 4-a

Q. Match the following square roots with their respective values.

1. 19
2. 25
3. 22
4. 16

Q.

$\frac{2}{5}=\frac{\square }{25}$

Q. Choose an irrational number between 5 and 6.

1. $\sqrt{24}$
2. $\sqrt{37}$
3. $\sqrt{41}$
4. $\sqrt{31}$

Q. Between which two consecutive whole numbers does $\sqrt{95}$lie?

1. 9 and 10
2. 10 and 11
3. 8 and 9
4. 7 and 8

Q.

Which of the following is/are not a square number?

(i) 48
(ii) 1653
(iii) 121
(iv) 627

1. (i), (ii), (iv)

2. (ii), (iv)

3. (i), (ii), (iii)

4. (iii)

Q.

$\frac{6}{21}=\frac{\square }{7}$

Q. If $\sqrt{6}=2.55$, then the value of $\sqrt{\frac{2}{3}}+3\sqrt{\frac{3}{2}}$ is