How to Calculate Square Root of a Perfect Square Number

TLDRLearn how to calculate the square root of a perfect square number. Check the last digit possibility, strike off the numbers, and find the perfect square close to the given number. Apply these steps to crack examination questions.

Key insights

🧮Perfect square numbers end with 0, 1, 4, 5, 6, or 9. They never end with 2, 3, 7, or 8.

🔢The last digit possibilities for perfect square numbers: 0 (only at 0), 1 (either 1 or 9), 4 (either 2 or 8), 5 (only at 5), 6 (either 4 or 6), and 9 (either 3 or 7).

The three-step procedure: check the last digit possibility, strike off the numbers, and find the perfect square close to the given number.

Q&A

Why do perfect square numbers have specific last digits?

Perfect square numbers have specific last digits because of their squaring pattern and mathematical properties.

How can I easily calculate the square root of a perfect square number?

You can easily calculate the square root of a perfect square number by following the three-step procedure: check the last digit possibility, strike off the numbers, and find the perfect square close to the given number.

Which numbers are perfect squares?

Perfect square numbers are numbers that can be obtained by multiplying an integer by itself, such as 1, 4, 9, 16, 25, etc.

Are all perfect square numbers positive?

Yes, all perfect square numbers are positive because the square of any non-zero integer is always positive.

Can I use this method to calculate the square root of non-perfect square numbers?

No, this method is specifically for calculating the square root of perfect square numbers. Non-perfect square numbers require different techniques.

Timestamped Summary

01:18Perfect square numbers never end with 2, 3, 7, or 8.

03:03Last digit possibilities for perfect square numbers include 0, 1, 4, 5, 6, and 9.

05:14The three-step procedure to calculate the square root of a perfect square number: check the last digit possibility, strike off the numbers, and find the perfect square close to the given number.

09:42Example calculation: square root of 23 is either 4 or 6.

12:48The answer to square root calculation depends on the perfect square close to the given number.