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What is the Square Root of 21375?

The square root of 21375 is 146.2019151721. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21375 = 146.2019151721
CalculatedNon-perfect squareIrrational
Exact form√21375
Perfect squareNo
Number typeIrrational
Verification146.20191517212 ≈ 21375

On this page

How the answer is calculated

We solve x2 = 21375. The resulting value is x = 146.2019151721.

Verification: 146.20191517212 ≈ 21375.

Simplified radical form

The square root of 21375 in simplified radical form is 15√95.

This is equivalent to √21375, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21372146.1916550286
√21373146.1950751564
√21374146.1984952043
√21375146.2019151721
√21376146.20533506
√21377146.2087548678
√21378146.2121745957

Number properties

Is 21375 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21375 is irrational because 21375 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 21375.