What is the Square Root of 4484?

The square root of 4484 is 66.9626761711. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√4484 = 66.9626761711
CalculatedNon-perfect squareIrrational
Exact form√4484
Perfect squareNo
Number typeIrrational
Verification66.96267617112 ≈ 4484

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How the answer is calculated

We solve x2 = 4484. The resulting value is x = 66.9626761711.

Verification: 66.96267617112 ≈ 4484.

Simplified radical form

The square root of 4484 in simplified radical form is 2√1121.

This is equivalent to √4484, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal664356
Upper or equal674489

Nearby square roots

NumberSquare root
√448166.9402718847
√448266.9477408133
√448366.9552089086
√448466.9626761711
√448566.970142601
√448666.9776081986
√448766.9850729641

Number properties

Is 4484 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√4484 is irrational because 4484 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 4484.