Square Root Calculator › Square root of 1000
Square Root of 1000
√1000 ≈ 31.622777
1000 is not a perfect square, so √1000 is an irrational number that is approximately 31.622777. In simplified radical form, √1000 = 10√10.
√1000 lies between √961 = 31 and √1024 = 32.
| Number | 1000 |
| Square root (decimal) | 31.622777 |
| Simplified radical | 10√10 |
| Perfect square? | No |
| Rational? | No |
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Frequently asked questions
Is 1000 a perfect square?
No, 1000 is not a perfect square, so its square root is irrational and approximately 31.622777.
What is the square root of 1000 in simplest radical form?
√1000 = 10√10 in simplest radical form.