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What is the Square Root of 13424?

The square root of 13424 is 115.8619868637. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13424 = 115.8619868637
CalculatedNon-perfect squareIrrational
Exact form√13424
Perfect squareNo
Number typeIrrational
Verification115.86198686372 ≈ 13424

On this page

How the answer is calculated

We solve x2 = 13424. The resulting value is x = 115.8619868637.

Verification: 115.86198686372 ≈ 13424.

Simplified radical form

The square root of 13424 in simplified radical form is 4√839.

This is equivalent to √13424, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13421115.8490397025
√13422115.8533555837
√13423115.8576713041
√13424115.8619868637
√13425115.8663022626
√13426115.8706175007
√13427115.8749325782

Number properties

Is 13424 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13424 is irrational because 13424 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 13424.