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What is the Square Root of 13500?

The square root of 13500 is 116.1895003862. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13500 = 116.1895003862
CalculatedNon-perfect squareIrrational
Exact form√13500
Perfect squareNo
Number typeIrrational
Verification116.18950038622 ≈ 13500

On this page

How the answer is calculated

We solve x2 = 13500. The resulting value is x = 116.1895003862.

Verification: 116.18950038622 ≈ 13500.

Simplified radical form

The square root of 13500 in simplified radical form is 30√15.

This is equivalent to √13500, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11613456
Upper or equal11713689

Nearby square roots

NumberSquare root
√13497116.1765897244
√13498116.1808934378
√13499116.1851969917
√13500116.1895003862
√13501116.1938036214
√13502116.1981066971
√13503116.2024096136

Number properties

Is 13500 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13500 is irrational because 13500 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 13500.