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What is the Square Root of 21681?

The square root of 21681 is 147.2446943017. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21681 = 147.2446943017
CalculatedNon-perfect squareIrrational
Exact form√21681
Perfect squareNo
Number typeIrrational
Verification147.24469430172 ≈ 21681

On this page

How the answer is calculated

We solve x2 = 21681. The resulting value is x = 147.2446943017.

Verification: 147.24469430172 ≈ 21681.

Simplified radical form

The square root of 21681 in simplified radical form is 3√2409.

This is equivalent to √21681, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14721609
Upper or equal14821904

Nearby square roots

NumberSquare root
√21678147.234506825
√21679147.2379027289
√21680147.2412985544
√21681147.2446943017
√21682147.2480899706
√21683147.2514855613
√21684147.2548810736

Number properties

Is 21681 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21681 is irrational because 21681 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 21681.