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What is the Square Root of 21120?

The square root of 21120 is 145.3272169967. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21120 = 145.3272169967
CalculatedNon-perfect squareIrrational
Exact form√21120
Perfect squareNo
Number typeIrrational
Verification145.32721699672 ≈ 21120

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How the answer is calculated

We solve x2 = 21120. The resulting value is x = 145.3272169967.

Verification: 145.32721699672 ≈ 21120.

Simplified radical form

The square root of 21120 in simplified radical form is 8√330.

This is equivalent to √21120, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21117145.3168950948
√21118145.3203358102
√21119145.3237764442
√21120145.3272169967
√21121145.3306574677
√21122145.3340978573
√21123145.3375381655

Number properties

Is 21120 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21120 is irrational because 21120 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 21120.