Evaluate the square root of 9604 using prime factorization

2 answers

9604
1372×7
196×7×7
28×7×7×7
4×7×7×7×7
2×2×7×7×7×7

2^2×7^4
divide by 2:
2,4802
2,2,2401
2,2,7,343
2,2, 7,7,49

2,2,2,7,7,7,7
taking the even pairs of roots out:
2,7,7,
sqrt=98