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What is the Square Root of 20421?

The square root of 20421 is 142.9020643658. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20421 = 142.9020643658
CalculatedNon-perfect squareIrrational
Exact form√20421
Perfect squareNo
Number typeIrrational
Verification142.90206436582 ≈ 20421

On this page

How the answer is calculated

We solve x2 = 20421. The resulting value is x = 142.9020643658.

Verification: 142.90206436582 ≈ 20421.

Simplified radical form

The square root of 20421 in simplified radical form is 3√2269.

This is equivalent to √20421, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20418142.8915672809
√20419142.8950663949
√20420142.8985654232
√20421142.9020643658
√20422142.9055632227
√20423142.909061994
√20424142.9125606796

Number properties

Is 20421 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20421 is irrational because 20421 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 20421.