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What is the Square Root of 12007?

The square root of 12007 is 109.5764573255. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√12007 = 109.5764573255
CalculatedNon-perfect squareIrrational
Exact form√12007
Perfect squareNo
Number typeIrrational
Verification109.57645732552 ≈ 12007

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How the answer is calculated

We solve x2 = 12007. The resulting value is x = 109.5764573255.

Verification: 109.57645732552 ≈ 12007.

Simplified radical form

The square root of 12007 in simplified radical form is √12007.

There are no square factors that can be taken outside the radical, so √12007 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal10911881
Upper or equal11012100

Nearby square roots

NumberSquare root
√12004109.5627673984
√12005109.5673308975
√12006109.5718942065
√12007109.5764573255
√12008109.5810202544
√12009109.5855829934
√12010109.5901455424

Number properties

Is 12007 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√12007 is irrational because 12007 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 12007.