Step-by-step explanation:
There are 4 ways to find Square roots.
- By using Prime Factorization Method
- By using Repeated Subtraction Method
- By using Long Division Method
- By using Estimation Method
- By using Prime Factorization Method
The square root of a perfect square number is easy to calculate using the prime factorization method.
- By using Repeated Subtraction Method
As per the repeated subtraction method, if a number is a perfect square, then we can determine its square root by:
- Repeatedly subtracting consecutive odd numbers from it
- Subtract till the difference is zero
- The number of times we subtract is the required square root
- By using Long Division Method
Finding square roots for the imperfect numbers is a bit difficult, but we can calculate using a long division method.
- By using Estimation Method
This method is used as an approximation method, to find the square root by guessing the values.
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So, We will try to find the Square root of 841 by Prime Factorization Method:
- Divide the given number by the smallest possible prime number,
- The smallest possible prime number is 29,
So, The Square root of 841 is 29 by using Prime Factorization Method
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