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What is the Square Root of 21204?

The square root of 21204 is 145.6159331941. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21204 = 145.6159331941
CalculatedNon-perfect squareIrrational
Exact form√21204
Perfect squareNo
Number typeIrrational
Verification145.61593319412 ≈ 21204

On this page

How the answer is calculated

We solve x2 = 21204. The resulting value is x = 145.6159331941.

Verification: 145.61593319412 ≈ 21204.

Simplified radical form

The square root of 21204 in simplified radical form is 6√589.

This is equivalent to √21204, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21201145.6056317592
√21202145.6090656518
√21203145.6124994635
√21204145.6159331941
√21205145.6193668438
√21206145.6228004126
√21207145.6262339004

Number properties

Is 21204 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21204 is irrational because 21204 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 21204.