Question

What must be subtracted from 4562 to get a perfect square ? also,find the square root of this perfect square.

Answer 1

subtract 73 from 4562 you will get a perfect square. the square root of 4489 is 67

Answer 2

Answer:

Required least number which must be subtracted = 73

Step-by-step explanation:

The number which is to be made perfect square is given to be 4562

Now, we need to find a least number which must be subtracted to the given number to make it a perfect square.

Perfect Square : A number whose square root is always a integer is called a perfect square number

Now, To find the required least number, we first find the square root of the given number 4562

⇒ √4562 = 67.54

Nearest integer which is just before to 67.54 = 67

Now, 67² = 4489

Hence, Required least number which must be subtracted = 4562 - 4489

                                                                                                    = 73