is 10152 a perfect square ? explain with the steps
Answers
Answer:
No, 10,152 is not a perfect square
Explanation:
If the number 10,152 is a perfect square, then it's square root should be a positive integer (No decimal or fraction)
√10,152 = 100.75…
As we can see, the resulting square root is a positive integer but in decimals. So, it is not a perfect square.
To make it a perfect square:
100² = 10,000
101² = 10,201
Our number (10,512) lies in between these perfect squares (i.e 10,000 and 10,201). So, we could add or subtract a certain number to make it a perfect square
To make it a perfect square - Addition:
10,201 is greater than 10,152. So,
10,201 - 10,152 = 49
Therefore, 49 can be added to 10,152 to make it a perfect square
To make it a perfect square - Subtraction:
10,000 is lesser than 10,152. So,
10,152 - 10,000 = 152
Therefore, 152 can be subtracted from 10,152 to make it a perfect square
Answer:
No, this is not a perfect square