Question

What will be the square root of 625 by explanation ?

Answer 1

For every number ending with 25, e.g. 225, 625, 1225, 2025, 3025,….21025,…, xx25 and so on, their square root is always n5. Jut you need to find n.

Step I -

Separate the number xx25 in two parts i.e. xx and 25. Therefore for 625, xx=6.

Step II -

Find the value of n by using simple formula → n * ( n + 1 ) = xx.

Let see if it works. Let’s take 225 as first number.

225 → xx = 2. We can write 2 as 2 = 1 * 2. Hence, n=1. So its square root =n5 =15.

Now let take some bigger numbers.

3025 → xx = 30 = 5 * 6. Therefore, n = 5. So square root of 3025 = 55.

5625 → xx = 56 = 7 * 8 . Therefore, n=7, Hence 75 is the answer.

11025 → xx = 110 = 10 * 11 . Therefore, n=10, Hence 105 is the answer.

Now, let’s find square root of 625.

625 → xx = 6 = 2 * 3. Therefore, n=2, hence square root is 25.

Hope it helps.