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What is the Square Root of 21380?

The square root of 21380 is 146.2190138115. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21380 = 146.2190138115
CalculatedNon-perfect squareIrrational
Exact form√21380
Perfect squareNo
Number typeIrrational
Verification146.21901381152 ≈ 21380

On this page

How the answer is calculated

We solve x2 = 21380. The resulting value is x = 146.2190138115.

Verification: 146.21901381152 ≈ 21380.

Simplified radical form

The square root of 21380 in simplified radical form is 2√5345.

This is equivalent to √21380, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21377146.2087548678
√21378146.2121745957
√21379146.2155942436
√21380146.2190138115
√21381146.2224332994
√21382146.2258527074
√21383146.2292720354

Number properties

Is 21380 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21380 is irrational because 21380 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 21380.