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What is the Square Root of 4472?

The square root of 4472 is 66.8730139892. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√4472 = 66.8730139892
CalculatedNon-perfect squareIrrational
Exact form√4472
Perfect squareNo
Number typeIrrational
Verification66.87301398922 ≈ 4472

On this page

How the answer is calculated

We solve x2 = 4472. The resulting value is x = 66.8730139892.

Verification: 66.87301398922 ≈ 4472.

Simplified radical form

The square root of 4472 in simplified radical form is 2√1118.

This is equivalent to √4472, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal664356
Upper or equal674489

Nearby square roots

NumberSquare root
√446966.8505796534
√447066.8580586018
√447166.8655367136
√447266.8730139892
√447366.8804904288
√447466.8879660328
√447566.8954408013

Number properties

Is 4472 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√4472 is irrational because 4472 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 4472.