Question

what is the least number to be added to 8426 to make it a perfect square

Answer 1

Answer:

We can add - 326 to make it 8100.

And as we all know that 8100 is the square root of 90.

Answer 2

✹ Question ✹

What is the least number to be added to 8426 to make it a perfect square?

✹ To find ✹

The least number to be added.

✹ Solution ✹

First we have to find the root of 8426 by long division method.

 9 ) 8426  ( 91

      81      

181 )   326

         181    

          145

So, we can see that 8426 > (91)² by 145.

Lets take the next number = (91 + 1) = 92

(92)² = (92 × 92) = 8464

We can see 8464 is a perfect square and is greater than 8426.

Let the number to be added to 8426 to get 8464 be x.

According to condition,

8426 + x = 8464

⇒ x = 8464 - 8426

⇒ x = 38

✹ Hence ✹

The number to be added = 38

The root of the perfect square = 92

✹ Therefore ✹

38 is the least number to be added to 8426 to make it a perfect square.

   

๑ Hope this helps you. ๑