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What is the Square Root of 21480?

The square root of 21480 is 146.5605676845. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21480 = 146.5605676845
CalculatedNon-perfect squareIrrational
Exact form√21480
Perfect squareNo
Number typeIrrational
Verification146.56056768452 ≈ 21480

On this page

How the answer is calculated

We solve x2 = 21480. The resulting value is x = 146.5605676845.

Verification: 146.56056768452 ≈ 21480.

Simplified radical form

The square root of 21480 in simplified radical form is 2√5370.

This is equivalent to √21480, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21477146.5503326506
√21478146.553744408
√21479146.5571560859
√21480146.5605676845
√21481146.5639792036
√21482146.5673906433
√21483146.5708020037

Number properties

Is 21480 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21480 is irrational because 21480 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 21480.