What is the Square Root of 4480?

The square root of 4480 is 66.9328021227. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√4480 = 66.9328021227
CalculatedNon-perfect squareIrrational
Exact form√4480
Perfect squareNo
Number typeIrrational
Verification66.93280212272 ≈ 4480

On this page

How the answer is calculated

We solve x2 = 4480. The resulting value is x = 66.9328021227.

Verification: 66.93280212272 ≈ 4480.

Simplified radical form

The square root of 4480 in simplified radical form is 8√70.

This is equivalent to √4480, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal664356
Upper or equal674489

Nearby square roots

NumberSquare root
√447766.9103878333
√447866.9178600973
√447966.925331527
√448066.9328021227
√448166.9402718847
√448266.9477408133
√448366.9552089086

Number properties

Is 4480 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√4480 is irrational because 4480 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 4480.