Question

What is the least number that must be added to 1357 to get a perfect square?

Answer 1

Step-by-step explanation:

12 should be added as 36×36=1296 and 37×37=1369

Hope this helps

Answer 2

The least number that must be added to 1357 to get a perfect square is 12.

Given,

Number - 1357

To Find,

Least number to be added to make it a perfect square

Solution,

We first need to find the nearest square

The number 1357 lies between the square of the numbers 36 and 37

36² < 1357 < 37²

Since we have to add a number, we have to make 1357 the square of 37.

36² = 36 * 36 = 1296

37² = 37 * 37 = 1369

Now the closest perfect square is 1369

Let the number to be added be 'x'

1357 + x = 1369

x = 1369 - 1357

x = 12

Thus, the least number that must be added to 1357 to get a perfect square is 12.

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