Question

What is the square root of 441?​

Answer 1

Answer:

21

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Answer 2

To find : square root of $441$ .

Solution :

• As per the data given in the question, we have to find the square root of $441$.
• There are four methods to find square root of numbers  :

1. Repeated subtraction method of square root
2. Square root by prime factorization method
3. Square root by estimation method
4. Square root by long division method .  

• Finding square root of $441$ by prime factorization method :  
• Prime factors of $441 = 3\times 3\times 7\times 7$  
• Taking one common factor from each pair .

            $\sqrt{441} = 3\times 7 \\= 21$

Hence, the square root of $441$ is $21$ .