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What is the Square Root of 21033?

The square root of 21033 is 145.0275835833. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21033 = 145.0275835833
CalculatedNon-perfect squareIrrational
Exact form√21033
Perfect squareNo
Number typeIrrational
Verification145.02758358332 ≈ 21033

On this page

How the answer is calculated

We solve x2 = 21033. The resulting value is x = 145.0275835833.

Verification: 145.02758358332 ≈ 21033.

Simplified radical form

The square root of 21033 in simplified radical form is 3√2337.

This is equivalent to √21033, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21030145.0172403544
√21031145.0206881793
√21032145.0241359223
√21033145.0275835833
√21034145.0310311623
√21035145.0344786594
√21036145.0379260745

Number properties

Is 21033 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21033 is irrational because 21033 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 21033.