Finding Square Root of a Number

Q. Find the smallest number by which 1100 must be multiplied so that the product becomes a perfect square. Also find the square root of the perfect square obtained.

Q. Evaluate: $17-[17-(17-(17-\overline{17-17})\left)\right]$.

Q.

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

Q.

Find the cube root of the result obtained when you subtract $x^3$ from $4097x^3$.​

1. $16x^3$

2. $4096x$

3. $13x^2$

4. $16x$

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. 10m

2. m

3. 7m

4. 6m

Q.

What is the square root of 36?

1. 2

2. 3

3. 5

4. 6

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.

If two triangles are congruent, their areas are equal.

1. True

2. False