What is the Square Root of 13248?

The square root of 13248 is 115.0999565595. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13248 = 115.0999565595
CalculatedNon-perfect squareIrrational
Exact form√13248
Perfect squareNo
Number typeIrrational
Verification115.09995655952 ≈ 13248

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How the answer is calculated

We solve x2 = 13248. The resulting value is x = 115.0999565595.

Verification: 115.09995655952 ≈ 13248.

Simplified radical form

The square root of 13248 in simplified radical form is 24√23.

This is equivalent to √13248, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13245115.0869236708
√13246115.091268131
√13247115.0956124272
√13248115.0999565595
√13249115.1043005278
√13250115.1086443322
√13251115.1129879727

Number properties

Is 13248 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13248 is irrational because 13248 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 13248.