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What is the Square Root of 11991?

The square root of 11991 is 109.503424604. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√11991 = 109.503424604
CalculatedNon-perfect squareIrrational
Exact form√11991
Perfect squareNo
Number typeIrrational
Verification109.5034246042 ≈ 11991

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How the answer is calculated

We solve x2 = 11991. The resulting value is x = 109.503424604.

Verification: 109.5034246042 ≈ 11991.

Simplified radical form

The square root of 11991 in simplified radical form is √11991.

There are no square factors that can be taken outside the radical, so √11991 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal10911881
Upper or equal11012100

Nearby square roots

NumberSquare root
√11988109.4897255454
√11989109.4942920887
√11990109.4988584415
√11991109.503424604
√11992109.507990576
√11993109.5125563577
√11994109.517121949

Number properties

Is 11991 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√11991 is irrational because 11991 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 11991.