Question

find the square root of 3600 using method of prime factorization

Answer 1

3600 = 2*2*2*2*3*3*5*5
If a number is perfect square root then its prime factor must occur twice.
Prime factor of 3600 occurs twice.
Hence, its square root of 3600 is 2*2*3*5 = 60

Answer 2

Answer: $\sqrt{3600}= 60$

Step-by-step explanation:

• To find the square root of any number by prime factorization we need to first factorize the numbers and then among the factors we need to take common of two factors i.e., two common factors will come out to be one.
• Given,to find square root of 3600 using prime factorization method.
• Let us first factorize 3600.

        3600=2×2×2×2×3×3×5×5

Now, taking the common for two same factors we get,

       $\sqrt{3600}=\sqrt{2*2*2*2*3*3*5*5}$

                  $=2*2*3*5$

                  $=60$

• Hence, the required square root of 3600 is 60.

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