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What is the Square Root of 11964?

The square root of 11964 is 109.380071311. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√11964 = 109.380071311
CalculatedNon-perfect squareIrrational
Exact form√11964
Perfect squareNo
Number typeIrrational
Verification109.3800713112 ≈ 11964

On this page

How the answer is calculated

We solve x2 = 11964. The resulting value is x = 109.380071311.

Verification: 109.3800713112 ≈ 11964.

Simplified radical form

The square root of 11964 in simplified radical form is 2√2991.

This is equivalent to √11964, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal10911881
Upper or equal11012100

Nearby square roots

NumberSquare root
√11961109.3663568013
√11962109.3709284956
√11963109.3754999989
√11964109.380071311
√11965109.3846424321
√11966109.3892133622
√11967109.3937841013

Number properties

Is 11964 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√11964 is irrational because 11964 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 11964.