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What is the Square Root of 1007?

The square root of 1007 is 31.7332633052. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1007 = 31.7332633052
CalculatedNon-perfect squareIrrational
Exact form√1007
Perfect squareNo
Number typeIrrational
Verification31.73326330522 ≈ 1007

On this page

How the answer is calculated

We solve x2 = 1007. The resulting value is x = 31.7332633052.

Verification: 31.73326330522 ≈ 1007.

Simplified radical form

The square root of 1007 in simplified radical form is √1007.

There are no square factors that can be taken outside the radical, so √1007 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal31961
Upper or equal321024

Nearby square roots

NumberSquare root
√100431.6859590355
√100531.7017349683
√100631.7175030543
√100731.7332633052
√100831.7490157328
√100931.7647603485
√101031.7804971641

Number properties

Is 1007 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1007 is irrational because 1007 is not a perfect square.

Visual guide

Square Root function graph

See how the result changes as the input moves across positive and negative values. Square roots are shown for non-negative inputs; cube roots continue through negative inputs.

Common questions

Frequently asked questions

It asks for the number that, when raised to the power of 2, equals 1007.