Square Root by Prime Factorisation Method

Q. Find the square root of 441.

1. 22
2. 21
3. 19
4. 29

Q. How do you simplify the square root of 40?

Q.

224 can be factorized as:

1. $2^5\times 7$
2. $2^4\times$ 7
3. $2^5\times 7^2$
4. $3^2\times 7$

Q. $\sqrt{10000}$ = .

1. 250
2. 100
3. 150
4. 1000

Q. In the square root of 1296, what would be the highest power of 3 ?

1. 0
2. 4
3. 2
4. 1

Q. What is the square root of $14400$?

Q. The value of $\sqrt{99}\times \sqrt{396}$ is:

1. 208
2. 198
3. 254
4. None of these

Q. $\sqrt{49}$ = 7

1. False
2. True

Q. Square root of 256 = .

1. 14
2. 15
3. 16
4. 12

Q. 1575 $\times$ is a perfect square.

1. 4
2. 5
3. 6
4. 7

Q. What is 320, 000 in scientific notation?

1. 3.2 x 10⁴
2. 3.2 x 10^-5
3. 3.2 x 10⁶
4. 3.2 x 10⁵

Q.

Use Prime Factorization method to find the square root of the following:-

$i.\sqrt{\left(1024\right)}$ = ______

$ii.\sqrt{\left(2025\right)}$ = _______

1. 36, 35

2. 28, 25
3. 28, 45

4. 32, 45

Q.

1, 024 trees are planted in a grid fashion such that the number of rows is equal to the number of columns. One row and one column of trees are cut such that the number of rows and columns after cutting remain equal. Find the number of trees that were cut?

1. 61

2. 63

3. 65

4. 67

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-d, 3-c, 4-a

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

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

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