Square Root of a Number

Q. Area of a square is $144$ cm${}^2$. What could be the side of the square?

1. $18$ cm
2. $12$ cm
3. $10$ cm
4. $15$ cm

Q. The value of $(\sqrt{\frac{225}{729}}-\sqrt{\frac{25}{144}})÷\sqrt{\frac{16}{81}}$ is

1. $\frac{1}{48}$
2. $\frac{5}{48}$
3. $\frac{5}{16}$
4. $\frac{1}{16}$

Q. If a = 0.1039, then what is the value of $3a-\sqrt{4a^2-4a+1}$?

1. 1.1039
2. 2.1039
3. 0.2078
4. 0.1039

Q. The square roots of two numbers x, y are 25 and 12. It is given that x < y. Choose the correct options.

1. $\sqrt{x}$ = 12
2. $\sqrt{x}$ = 25
3. $\sqrt{y}$ = 12
4. $\sqrt{y}$ = 25

Q. What is the value of $\sqrt{\frac{x+2y}{8y}}$ if $x=5.6$ and $y=3.1$ correct to 2 decimal places?

1. 0.69
2. 2.62
3. 2.83
4. 4.77

Q. Aju starts from his home and walks x meters in north direction. After that he turns right and walks another x meters. He meets his friends and then reaches back home by the shortest possible path. The area enclosed by the path taken by Aju for the whole journey is 50 m². What is x?

1. m

2. 7m

3. 6m

4. 10m

Q.

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

1. 15

2. 16

3. 3

4. 24

Q.

The length of the side of a square with an area of 1600 m² is __ metres.

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

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

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

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

Q.

If $\sqrt{2}=1.4142$, then the square of $14.142$ should approximately be?

1. $2500$

2. $20$

3. $200$

4. $2000$