Finding the square root of perfect squares ending in 5
Follow the following Steps:
- Select a 2-digit number and square it.
- Drop the last two digits of the square.
- Find the largest square root of the remaining digits.
This is first digit of the square root. - The second digit is 5.
Example:1
- If the square is 9025:
- Drop the last two digits: 90
- Find the largest root in 90: 9 × 9 = 81
- The first digit is 9. The second digit is 5.
- So the square root of 9025 is 95.
Example:2
- If the square is 4225:
- Drop the last two digits: 42
- Find the largest root in 42: 6 × 6 = 36
- The first digit is 6. The second digit is 5.
- So the square root of 4225 is 65
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