Question

What is the least number that can be added to the number 5000 to make it perfect square?

Answer 1

$\textbf {Hey there, here is the solution.}$

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Let k be the number you need to add:

5000 = 2³ x 5⁴

To make it a perfect square, the both has to be even

5000k = 2⁴ x 5⁴

therefore,

k = 2¹

.

Number to add = 5000(2) - 5000

Number to add = 100000 - 5000

Number to add = 5000

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Answer: We need to add 5000

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⭐$\textbf {Cheers}$⭐

Answer 2

Square Numbers

We know that 70² is 4900
and 71² is 5041

So the closest square of the number 5000 is 5041

So the least number that should be added will be (5041 -5000) = 41.

Interesting fact,
Do you know who invented exponents ?

Let me answer it
Nicolas Chuquet a banker invented exponents. He had to multiply numbers many times usually because in that time there were on calculators. And thus he got up with this idea of creation exponents.

That's it.
Hope it helped.
^_^