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What is the Square Root of 27333?

The square root of 27333 is 165.3269488015. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27333 = 165.3269488015
CalculatedNon-perfect squareIrrational
Exact form√27333
Perfect squareNo
Number typeIrrational
Verification165.32694880152 ≈ 27333

On this page

How the answer is calculated

We solve x2 = 27333. The resulting value is x = 165.3269488015.

Verification: 165.32694880152 ≈ 27333.

Simplified radical form

The square root of 27333 in simplified radical form is 3√3037.

This is equivalent to √27333, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27330165.3178756215
√27331165.3209000701
√27332165.3239244635
√27333165.3269488015
√27334165.3299730841
√27335165.3329973115
√27336165.3360214835

Number properties

Is 27333 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27333 is irrational because 27333 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 27333.