Question

Find the least number which must be added to 8888 so that resulting number become a perfect square​

Answer 1

Answer:

It must be 137

Step-by-step explanation:

Hello.

Well to find that you must have a good knowledge of properties of squares and have a method to calculate squares fast.

Now 8888 is not a perfect square since it is ending in 8.

Now, we must find squares near 8888.

For that, first observe and decide which two numbers can be multiplied to get a number near 8888.

90 ^2 = 8100

95 ^ = 9025

94 ^ 2 = 8836

From the 3 squares we found above it can be clearly seen that the next square number after 8888 is 9025 .

To find what must be added to 8888, just subtract it from 9025.

9025 - 8888 = 137

PS: If you know the basics of numbers and finding the range then it will be a moderately easy question for you. All these calculations are done without using a calculator. So it wont take much time if you think finding each and every square will take time.

Thanks for the A2A.

Cheers!