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What is the Square Root of 21420?

The square root of 21420 is 146.3557310118. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21420 = 146.3557310118
CalculatedNon-perfect squareIrrational
Exact form√21420
Perfect squareNo
Number typeIrrational
Verification146.35573101182 ≈ 21420

On this page

How the answer is calculated

We solve x2 = 21420. The resulting value is x = 146.3557310118.

Verification: 146.35573101182 ≈ 21420.

Simplified radical form

The square root of 21420 in simplified radical form is 6√595.

This is equivalent to √21420, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21417146.3454816522
√21418146.3488981851
√21419146.3523146383
√21420146.3557310118
√21421146.3591473055
√21422146.3625635195
√21423146.3659796537

Number properties

Is 21420 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21420 is irrational because 21420 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 21420.