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What is the Square Root of 4464?

The square root of 4464 is 66.813172354. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√4464 = 66.813172354
CalculatedNon-perfect squareIrrational
Exact form√4464
Perfect squareNo
Number typeIrrational
Verification66.8131723542 ≈ 4464

On this page

How the answer is calculated

We solve x2 = 4464. The resulting value is x = 66.813172354.

Verification: 66.8131723542 ≈ 4464.

Simplified radical form

The square root of 4464 in simplified radical form is 12√31.

This is equivalent to √4464, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal664356
Upper or equal674489

Nearby square roots

NumberSquare root
√446166.790717918
√446266.7982035687
√446366.8056883806
√446466.813172354
√446566.8206554892
√446666.8281377864
√446766.835619246

Number properties

Is 4464 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√4464 is irrational because 4464 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 4464.