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What is the Square Root of 13440?

The square root of 13440 is 115.9310139695. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13440 = 115.9310139695
CalculatedNon-perfect squareIrrational
Exact form√13440
Perfect squareNo
Number typeIrrational
Verification115.93101396952 ≈ 13440

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How the answer is calculated

We solve x2 = 13440. The resulting value is x = 115.9310139695.

Verification: 115.93101396952 ≈ 13440.

Simplified radical form

The square root of 13440 in simplified radical form is 8√210.

This is equivalent to √13440, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13437115.9180745182
√13438115.9223878291
√13439115.9267009795
√13440115.9310139695
√13441115.935326799
√13442115.9396394681
√13443115.9439519768

Number properties

Is 13440 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13440 is irrational because 13440 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 13440.