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What is the Square Root of 130?

The square root of 130 is 11.401754251. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√130 = 11.401754251
CalculatedNon-perfect squareIrrational
Exact form√130
Perfect squareNo
Number typeIrrational
Verification11.4017542512 ≈ 130

On this page

How the answer is calculated

We solve x2 = 130. The resulting value is x = 11.401754251.

Verification: 11.4017542512 ≈ 130.

Simplified radical form

The square root of 130 in simplified radical form is √130.

There are no square factors that can be taken outside the radical, so √130 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11121
Upper or equal12144

Nearby square roots

NumberSquare root
√12711.2694276696
√12811.313708499
√12911.3578166916
√13011.401754251
√13111.4455231423
√13211.4891252931
√13311.5325625947

Number properties

Is 130 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√130 is irrational because 130 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 130.