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What is the Square Root of 4667?

The square root of 4667 is 68.315444813. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√4667 = 68.315444813
CalculatedNon-perfect squareIrrational
Exact form√4667
Perfect squareNo
Number typeIrrational
Verification68.3154448132 ≈ 4667

On this page

How the answer is calculated

We solve x2 = 4667. The resulting value is x = 68.315444813.

Verification: 68.3154448132 ≈ 4667.

Simplified radical form

The square root of 4667 in simplified radical form is √4667.

There are no square factors that can be taken outside the radical, so √4667 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal684624
Upper or equal694761

Nearby square roots

NumberSquare root
√466468.2934843159
√466568.3008052661
√466668.3081254318
√466768.315444813
√466868.3227634102
√466968.3300812234
√467068.3373982531

Number properties

Is 4667 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√4667 is irrational because 4667 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 4667.