# Finding square root using prime factorization method part 2

Q.1 Find the square root of 625 using the prime factorization method

Solution:

625=5×5×5×5

Make pairs

625=5×5×5×5

√625=√5×5×5×5

√625=5×5

√625=25

Q.2 Find the square root of 144  using the prime factorization method

Solution:

144=2×2×2×2×3×3

Make pairs

144=2×2×2×2×3×3

√144=√2×2×2×2×3×3

√144=2×3×2

√144=12

Q.3 Find the square root of 400 using the prime factorization method

Solution:

400=2×2×2×2×5×5

Make pairs

400=2×2×2×2×5×5

√400=√2×2×2×2×5×5

√400=2×2×5

√400=20

Q.5 Find the square root of 5929 using the prime factorization method

Solution:

5929=7×7×11×11

Make pairs

5929=7×7×11×11

√5929=√7×7×11×11

5929=7×11

5929= 77

Q.6 Find the square root of 9604 using the prime factorization method

Solution: 9604=2×2×7×7×7×7

Make pairs

9604=2×2×7×7×7×7

√9604=√2×2×7×7×7×7

√9604=2×7×7

√9604=98

Q.7 Find the square root of 729 using the prime factorization method

Solution: 729=3×3×3×3×3×3

Make pairs

729=3×3×3×3×3×3

√729=√3×3×3×3×3×3

√729=3×3×3

√729=27

Check