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What is the Square Root of 424?

The square root of 424 is 20.591260282. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√424 = 20.591260282
CalculatedNon-perfect squareIrrational
Exact form√424
Perfect squareNo
Number typeIrrational
Verification20.5912602822 ≈ 424

On this page

How the answer is calculated

We solve x2 = 424. The resulting value is x = 20.591260282.

Verification: 20.5912602822 ≈ 424.

Simplified radical form

The square root of 424 in simplified radical form is 2√106.

This is equivalent to √424, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal20400
Upper or equal21441

Nearby square roots

NumberSquare root
√42120.5182845287
√42220.5426385842
√42320.5669638012
√42420.591260282
√42520.6155281281
√42620.6397674406
√42720.6639783198

Number properties

Is 424 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√424 is irrational because 424 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 424.