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What is the Square Root of 13077?

The square root of 13077 is 114.3547113153. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13077 = 114.3547113153
CalculatedNon-perfect squareIrrational
Exact form√13077
Perfect squareNo
Number typeIrrational
Verification114.35471131532 ≈ 13077

On this page

How the answer is calculated

We solve x2 = 13077. The resulting value is x = 114.3547113153.

Verification: 114.35471131532 ≈ 13077.

Simplified radical form

The square root of 13077 in simplified radical form is 3√1453.

This is equivalent to √13077, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11412996
Upper or equal11513225

Nearby square roots

NumberSquare root
√13074114.341593482
√13075114.3459662603
√13076114.3503388714
√13077114.3547113153
√13078114.359083592
√13079114.3634557015
√13080114.367827644

Number properties

Is 13077 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13077 is irrational because 13077 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 13077.