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Find the square root of 441 using prime factors method.

User Gelu
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Final answer:

To find the square root of 441 using the prime factors method, factorize 441 into its prime factors and evaluate the square root.


Step-by-step explanation:

To find the square root of 441 using the prime factors method, we need to first factorize 441. Prime factorization of 441 is 3 x 3 x 7 x 7. Now, group the prime factors in pairs: (3 x 7) x (3 x 7). Since each pair has the same factors, we can rewrite it as (3 x 7)^2. Evaluating (3 x 7)^2 gives us 21^2, which equals 441. So, the square root of 441 is 21.


Learn more about Square Roots and Prime Factors

User Chris Sparrow
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