What is the square root of 1,000?

31.622777the square root of 1,000 is 31.622777. This is the number that, when multiplied by itself, equals 1,000. Square roots appear frequently in geometry, physics, statistics, and engineering calculations.

This calculation was generated using our Square Root Calculator. For custom values or more complex scenarios, try the full interactive calculator.

Below is the step-by-step calculation used to determine the result.

Answer

31.622777

√1,000 = 31.622777

Step-by-Step Solution

1

Find x where x × x = 1,000

2

1,000 is not a perfect square, so the result is irrational

3

√1,000 ≈ 31.622777

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