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Square of any 2 Digits Number Ending with 5 Video Lecture | Vedic Mathematics - Class 8

FAQs on Square of any 2 Digits Number Ending with 5 Video Lecture - Vedic Mathematics - Class 8

1. What is the square of a two-digit number ending with 5?

Ans. The square of any two-digit number ending with 5 can be obtained by multiplying the tens digit by its successor and adding 25 at the end. For example, the square of 15 is calculated as (1+1) * 1 = 1, and 25 is added at the end, resulting in 225.

2. Can the square of a two-digit number ending with 5 be a perfect square?

Ans. Yes, the square of a two-digit number ending with 5 can be a perfect square. In fact, all squares of two-digit numbers ending with 5 are perfect squares because their square roots are whole numbers.

3. How can I calculate the square of a two-digit number ending with 5 mentally?

Ans. To mentally calculate the square of a two-digit number ending with 5, you can follow a simple pattern. Take the tens digit, multiply it by its successor, and append 25 at the end. For example, to find the square of 65, you multiply 6 and 7, which gives 42, and then append 25, resulting in 4225.

4. Is there a shortcut to find the square of any number ending with 5?

Ans. Yes, there is a shortcut to find the square of any number ending with 5. Take the tens digit, multiply it by its successor, and prepend the product with the tens digit squared. Finally, append 25 at the end. For instance, to find the square of 85, you square the tens digit (8 squared equals 64), multiply the tens digit by its successor (8 multiplied by 9 equals 72), and append 25 at the end, resulting in 7225.

5. Are there any other interesting patterns or properties related to the squares of two-digit numbers ending with 5?

Ans. Yes, there are several interesting patterns and properties related to the squares of two-digit numbers ending with 5. For example, the difference between the squares of consecutive two-digit numbers ending with 5 is always equal to the sum of the corresponding tens digits. Additionally, the sum of the squares of two consecutive two-digit numbers ending with 5 is always equal to the product of their sums and the sum of their tens digits. These patterns can be explored further to discover more fascinating properties.

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Oct 15, 2025 Last updated

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