Question

9. Find the least number that must be added to 1316 so as to get a perfect square. Also
find the square root of the perfect square.​

Answer 1

:given number.

=1316

=Number whose square is less than 1316

=36 =1296

Then the next perfect square will be of 37=1369

X+ 1316=1369

x  =1369-1316

X =53

Answer 2

The required number to be added is 53 to 1316 so as to get a perfect square.

$(37)^2=1369$

Step-by-step explanation:

To find :  The least number that must be added to 1316 so as to get a perfect square. Also  find the square root of the perfect square ?

Solution :

Taking square root of 1316,

$\sqrt{1316} =36.27$

We take the next integer i.e. 37.

Taking square of 37,

$(37)^2=1369$

Subtract the numbers,

$1369-1316=53$

Therefore, the required number to be added is 53 to 1316 so as to get a perfect square.

#Learn more

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