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What is the Square Root of 21042?

The square root of 21042 is 145.0586088448. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21042 = 145.0586088448
CalculatedNon-perfect squareIrrational
Exact form√21042
Perfect squareNo
Number typeIrrational
Verification145.05860884482 ≈ 21042

On this page

How the answer is calculated

We solve x2 = 21042. The resulting value is x = 145.0586088448.

Verification: 145.05860884482 ≈ 21042.

Simplified radical form

The square root of 21042 in simplified radical form is 3√2338.

This is equivalent to √21042, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21039145.0482678283
√21040145.0517149157
√21041145.0551619212
√21042145.0586088448
√21043145.0620556865
√21044145.0655024463
√21045145.0689491242

Number properties

Is 21042 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21042 is irrational because 21042 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 21042.