Question

what is the smallest number that must be added to 7190 to get a perfect square also write the square root of the perfect square​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

The smallest number to be added to 7190 to make it a perfect square is 35.

We need to find the minimum number to be added to 7190 such that it becomes a perfect square.

A perfect square is a number whose square root is an integer and not any decimal or fractional number. Thus "y" is called a perfect square if there exists an integer "x" such that : x * x = y

Here, we firstly find the square root of 7190

               $\sqrt{7190} = \sqrt{2 * 5 * 719}$

                           $= \sqrt{2} * \sqrt{5} *\sqrt{719}$

                           $= 1.414 * 2.236 * 26.814$

                           $= 84.77$

The nearest integer that is greater than 84.77 is 85.

So, the nearest perfect square greater than the square of 84.77 i.e. 7190 is the square of 85.

              $85^{2} = 85 * 85$

                    $= 7225$

Thus, 7225 is the nearest perfect square greater than 7190.

So, the smallest number to be added to 7190 is :

                    $= 7225 - 7190$

                    $= 35$

Hence, 35 is the smallest number to be added to 7190 to make a perfect square.

To learn more about Perfect Square, visit

https://brainly.in/question/548886

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