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Because its square root is an irrational number that can't be expressed as a fraction.
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The closest perfect squares are 31^2 = 961, and 32^2 = 1024.
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If you simplify, sqrt(1000) = sqrt(100) * sqrt(10) = 10 * sqrt(2) * sqrt(5). 2 and 5 are prime numbers so there is no way to ever get rid of the radical.
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Is 1000 a perfect square explain?
1,000 is a not perfect square.
Is 1000 a perfect square?
No
What is the first perfect square after 1000?
1024
What is the largest perfect square less than 1000?
312 = 961
Why is the square root of 1000 an irrational number?
The square root of any non-perfect square is an irrational number. Since sqrt(1000) = 10 sqrt(10), it is irrational.
Is the number 1000 a perfect square?
No, 1,000 is a not perfect square.
Is 1000 a perfect square explain?
1,000 is a not perfect square.
Is 1000000 a perfect square?
Yes, 1,000,000 is a perfect square. 1000² = 1000 x 1000 = 1,000,000.
Is 1000 a perfect square and why?
No, it is not.
Is 1000 a perfect square?
No
What is the first perfect square after 1000?
1024
How many perfect square numbers between 1 to 1000 are?
There are 31 perfect square numbers between 1 and 1000 (including 1).
How many perfect squares are there between 100 and 1000?
100 is a perfect square of 10.The square root of 1000 is 31.6blahblahblah, so the square of 31 is less than 1000 and the square of 32 is more than 1000.That means the perfect squares between (not including) 100 and 1000 are the squares of 11 through 31, a total of 21 different values.
The number of perfect square numbers between 50 and 1000 are?
There are 24 perfect squares between 50 and 1000.
Is 7191 the 1000 number that is not a perfect square?
Yes
What is the largest perfect square less than 1000?
312 = 961
Why is the square root of 1000 an irrational number?
The square root of any non-perfect square is an irrational number. Since sqrt(1000) = 10 sqrt(10), it is irrational.
