Question

what least number must be added to 7344 and 6203 to make it a perfect square

Answer 1

Answer:

The least number that you can add to 7344 to make it a perfect square is 52 whereas the least number you can add to 6203 to make it a perfect square is 38.

Explanation:

Step 1 : Write down the numbers as from the question.

We have :

7344

6203

Step 2 : Get their square roots so as to make the correct estimates.

Square root of 7344 = 85.697

Square root of 6203 = 78.759

Step 3: Identify the upper limit and the lower limits of the square roots.

85.697 : 85 and 86

78.759 = 78 and 79

Step 4 : Get the squares of the upper and lower limits in each case.

85² = 7225 86² = 7396

78² = 6084 79² = 6241

Step 5 : Since we are adding a number to the original numbers, the squares must be greater than the initial number.

We therefore take the square of the upper limit.

For 7344 we take 7396 and for 6203 we take 6241

Step 6:We now get the smallest numbers by subtraction.

7396 - 7344 = 52

6241 - 6203 = 38

Answer 2

Explanation:

The square root of 6203 is quotient = 78 remainder = 119 which explains that it is not a perfect square. Now, here we find the nearest perfect square to 6203 is 6241 and its square root is 79. Now, we got a perfect square number and we have to subtract this perfect square number from the non-perfect one. The least number that we have is 38.