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What is the Square Root of 13083?

The square root of 13083 is 114.3809424686. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13083 = 114.3809424686
CalculatedNon-perfect squareIrrational
Exact form√13083
Perfect squareNo
Number typeIrrational
Verification114.38094246862 ≈ 13083

On this page

How the answer is calculated

We solve x2 = 13083. The resulting value is x = 114.3809424686.

Verification: 114.38094246862 ≈ 13083.

Simplified radical form

The square root of 13083 in simplified radical form is 7√267.

This is equivalent to √13083, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11412996
Upper or equal11513225

Nearby square roots

NumberSquare root
√13080114.367827644
√13081114.3721994193
√13082114.3765710275
√13083114.3809424686
√13084114.3853137426
√13085114.3896848496
√13086114.3940557896

Number properties

Is 13083 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13083 is irrational because 13083 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 13083.