In this worksheet, you’ll get various problems to solve based on **square root using the factorization method**. But, if you don’t know, how we find square root using the factorization method, check these posts

- Learn to find square root using the factorization method part 1
- Finding square root using factorization method with more problems

Q.1 Using prime factorization, examine which of the following numbers are perfect square:

(i) 632

(ii) 7225

(iii) 784

(iv) 441

Q.2 Using the prime factorization method, find the square root of the following, if possible

(i) 729

(ii) 1024

(iii) 12321

(iv) 2048

Square root word problem worksheet

Q.3 Find the dimension of a square whose area is 2025 sq.m

Q.4 Find the smallest square number that is divisible by each of the numbers 6,8 and 10.

Q.5 Find the number which should be multiplied by 245 to obtain a perfect square. Find the new number and also the square root of the number so obtained.

Q.6 Find the number by which 3872 be divided to obtain a perfect square .Find the square root of the number obtained

Answer :

Problem: 01

Answer :

(i) No

(ii) Yes

(iii) Yes

(iv) Yes

Problem: 02

Answer :

(i) √729=27

(ii) √1024= 32

(iii) √12321=111

(iv) √2048= It is not a perfect square

Square root word problem worksheet answer

Problem: 03

Answer: The length of each side of the square is 45 m

Problem:04

Answer: Required number is 3600

Problem: 05

Answer : The number obtained is 1225 and its square root is 35

Problem: 06

Answer: Required number is 1936 and its square root is 44

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