Prime Factorization for Finding Square Root of a Number

Q.

Find the square root of $5625$ by prime factorization method.

Q.

Evaluate the square root of $1156$ by prime factorization

Q.

Prime factorization of $3136$

Q. Find the square root of $324$ using prime factorization.

1. $16$
2. $17$
3. $18$
4. $19$

Q. Find the value of the given expression using prime factorization.

$\frac{\sqrt{169}}{12}\times \frac{19}{14}\times \frac{\sqrt{196}}{13}$

1. $\frac{7}{12}$
2. $1\frac{7}{12}$

Q. In a plantation drive, 576 trees are to be planted in a plot so that the number of trees in each row equals the total number of rows. The number of rows is .

Q. Harry wants to distribute 441 candies among $x$ friends in such a way that each friend gets $x$ candies. What is the value of $x$?

1. 19
2. 7
3. 42
4. 21

Q. Find the pairs of numbers in which square of one number is square root of the other number.

1. $\{4,256\}$
2. $\{\sqrt{3},9\}$
3. $\{5,25\}$
4. $\{\sqrt{2}\times \sqrt{5},100\}$

Q. Evaluate $(\sqrt{484}-\sqrt{441}{)}^2$ using prime factorization.