What is the Square Root of 20921?

The square root of 20921 is 144.6409347315. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20921 = 144.6409347315
CalculatedNon-perfect squareIrrational
Exact form√20921
Perfect squareNo
Number typeIrrational
Verification144.64093473152 ≈ 20921

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How the answer is calculated

We solve x2 = 20921. The resulting value is x = 144.6409347315.

Verification: 144.64093473152 ≈ 20921.

Simplified radical form

The square root of 20921 in simplified radical form is √20921.

There are no square factors that can be taken outside the radical, so √20921 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20918144.6305638515
√20919144.6340208941
√20920144.6374778541
√20921144.6409347315
√20922144.6443915263
√20923144.6478482384
√20924144.6513048679

Number properties

Is 20921 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20921 is irrational because 20921 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 20921.