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What is the Square Root of 13075?

The square root of 13075 is 114.3459662603. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13075 = 114.3459662603
CalculatedNon-perfect squareIrrational
Exact form√13075
Perfect squareNo
Number typeIrrational
Verification114.34596626032 ≈ 13075

On this page

How the answer is calculated

We solve x2 = 13075. The resulting value is x = 114.3459662603.

Verification: 114.34596626032 ≈ 13075.

Simplified radical form

The square root of 13075 in simplified radical form is 5√523.

This is equivalent to √13075, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11412996
Upper or equal11513225

Nearby square roots

NumberSquare root
√13072114.3328474237
√13073114.3372205364
√13074114.341593482
√13075114.3459662603
√13076114.3503388714
√13077114.3547113153
√13078114.359083592

Number properties

Is 13075 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13075 is irrational because 13075 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 13075.