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What is the Square Root of 30267?

The square root of 30267 is 173.9741360088. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√30267 = 173.9741360088
CalculatedNon-perfect squareIrrational
Exact form√30267
Perfect squareNo
Number typeIrrational
Verification173.97413600882 ≈ 30267

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How the answer is calculated

We solve x2 = 30267. The resulting value is x = 173.9741360088.

Verification: 173.97413600882 ≈ 30267.

Simplified radical form

The square root of 30267 in simplified radical form is 3√3363.

This is equivalent to √30267, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17329929
Upper or equal17430276

Nearby square roots

NumberSquare root
√30264173.9655138239
√30265173.968387933
√30266173.9712619946
√30267173.9741360088
√30268173.9770099755
√30269173.9798838947
√30270173.9827577664

Number properties

Is 30267 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√30267 is irrational because 30267 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 30267.