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What is the Square Root of 11988?

The square root of 11988 is 109.4897255454. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√11988 = 109.4897255454
CalculatedNon-perfect squareIrrational
Exact form√11988
Perfect squareNo
Number typeIrrational
Verification109.48972554542 ≈ 11988

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How the answer is calculated

We solve x2 = 11988. The resulting value is x = 109.4897255454.

Verification: 109.48972554542 ≈ 11988.

Simplified radical form

The square root of 11988 in simplified radical form is 18√37.

This is equivalent to √11988, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal10911881
Upper or equal11012100

Nearby square roots

NumberSquare root
√11985109.4760247726
√11986109.4805918873
√11987109.4851588116
√11988109.4897255454
√11989109.4942920887
√11990109.4988584415
√11991109.503424604

Number properties

Is 11988 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√11988 is irrational because 11988 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 11988.