Is 1000 a perfect square?
Understand the Problem
The question is asking whether the number 1000 is a perfect square, which means finding out if there is an integer that can be squared to equal 1000.
Answer
1000 is not a perfect square.
Answer for screen readers
1000 is not a perfect square.
Steps to Solve
- Calculate the square root of 1000
To find out if 1000 is a perfect square, we need to calculate its square root. We can use the square root symbol or a calculator: $$ \sqrt{1000} $$
- Evaluate the square root
Calculating the square root gives us: $$ \sqrt{1000} \approx 31.62 $$
- Check if the square root is an integer
Since the result (31.62) is not an integer, we conclude that there is no whole number that squares to 1000.
- Confirm that 1000 is not a perfect square
Because we found that the square root of 1000 is not an integer, we can state that 1000 is not a perfect square.
1000 is not a perfect square.
More Information
A perfect square is a number that can be expressed as the square of an integer. Examples include 1, 4, 9, 16, and so on. The discoveries of perfect squares relate to basic number theory.
Tips
- Mistaking decimal square roots as integers. It’s important to ensure that the square root results in a whole number for a number to be a perfect square.
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