Question

Find the least number which must be added to 8600 to obtain a perfect square and it's square root ​

Answer 1

Step-by-step explanation:

64

8400+64=8464

8400+64=846492 is the square root of 8464

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Answer 2

The number which needs to be added is 64 and its square root is 92

Step-by-step explanation:

We know that,

$90 \times 90=8100\\91 \times 91=8281\\92 \times 92=8464$

8400 is in between the squares of the numbers 91 and 92

Consider,

$(92 \times 92)-(91 \times 91)=8464-8281=64$

Therefore, the least number is 64 which must be added to 8400 to get the perfect square.

$64+8400=8464\\\Rightarrow \sqrt{8464}=92$

Thus, the square root of the number 8464 is 92.

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