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What is the Square Root of 26424?

The square root of 26424 is 162.5546062097. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√26424 = 162.5546062097
CalculatedNon-perfect squareIrrational
Exact form√26424
Perfect squareNo
Number typeIrrational
Verification162.55460620972 ≈ 26424

On this page

How the answer is calculated

We solve x2 = 26424. The resulting value is x = 162.5546062097.

Verification: 162.55460620972 ≈ 26424.

Simplified radical form

The square root of 26424 in simplified radical form is 6√734.

This is equivalent to √26424, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16226244
Upper or equal16326569

Nearby square roots

NumberSquare root
√26421162.5453782794
√26422162.5484543144
√26423162.5515302912
√26424162.5546062097
√26425162.5576820701
√26426162.5607578722
√26427162.5638336162

Number properties

Is 26424 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√26424 is irrational because 26424 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 26424.