Question

what least no must be added to 5607 to make the sum a perfect square ? find the square root of the perfect square no so obtained

Answer 1

no added should be 18

then it will be 5625

it is square root of 75

Answer 2

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What least no. must be added to 5607 to make the sum a perfect square ? Find the square root of the perfect square no. so obtained.$\\ {\huge{\underline{\boxed{\red{\mathcal{Answer}}}}}}$

The Square Root of 5607 is =>

$\Large{ \begin{array}{r|l} & \sf{74.8} \\ \cline{1-2} \tt 7 & \sf {5607} \\ \tt 7 & \sf{49} \\ \cline{1-2} \tt 144 & \sf{707 }\\ \tt 4 & \sf{ 576 }\\ \cline{1-2} \tt 1408 & \sf{13100} \end{array}}$

Hence, the square root of 5607 is approximately 74.8. The number 5607 lies between $74^2$ and $75^2$ , i.e., 5476 and 5625.

Hence, as we need to add a number let it be x.  So,

=> 5607 + x = 5625

=> x=18

The smallest number that must be added to 5607 to make it a perfect square is 18.

The number formed will be 5625 whose square root is 75.

Hope it helps!!!