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What is the Square Root of 4672?

The square root of 4672 is 68.3520299625. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√4672 = 68.3520299625
CalculatedNon-perfect squareIrrational
Exact form√4672
Perfect squareNo
Number typeIrrational
Verification68.35202996252 ≈ 4672

On this page

How the answer is calculated

We solve x2 = 4672. The resulting value is x = 68.3520299625.

Verification: 68.35202996252 ≈ 4672.

Simplified radical form

The square root of 4672 in simplified radical form is 8√73.

This is equivalent to √4672, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal684624
Upper or equal694761

Nearby square roots

NumberSquare root
√466968.3300812234
√467068.3373982531
√467168.3447144994
√467268.3520299625
√467368.3593446429
√467468.3666585405
√467568.3739716559

Number properties

Is 4672 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√4672 is irrational because 4672 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 4672.