find the square root off 12.25 by prime factorization

multiply by 100. 1225

divide by 25: 45
divide by 9: 5
answer: sqrt12.25= sqrt(9*25/100)=15/10*sqrt5=1.5*sqrt5

hmm. I get

√12.25 = √(1225/100) = √(25*49/100) = 5*7/10 = 3.5

12.25 =1225/100

1225\100=5×5×7×7/2×2×5×5
Taking square root on both side
Answer=3.5

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