Calculate the square root of 441

Problem

√(,441)

Solution

1. Identify the number under the radical, which is 441

2. Determine the prime factorization of 441 by checking for small prime factors.

3. Divide by 3 since the sum of the digits 4 + 4 + 1 = 9i*s(d(i))*v*i*s(i)*b*l*e*b*y$.

441=3×147

4. Divide 147 by 3 again.

147=3×49

5. Recognize that 49 is a perfect square.

49=7×7

6. Group the prime factors into pairs to find the square root.

√(,441)=√(,3×7)

7. Simplify the expression by taking one number from each pair out of the radical.

√(,441)=3×7

8. Multiply the resulting factors.

3×7=21

Final Answer

√(,441)=21

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