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What is the Square Root of 183?

The square root of 183 is 13.5277492585. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√183 = 13.5277492585
CalculatedNon-perfect squareIrrational
Exact form√183
Perfect squareNo
Number typeIrrational
Verification13.52774925852 ≈ 183

On this page

How the answer is calculated

We solve x2 = 183. The resulting value is x = 13.5277492585.

Verification: 13.52774925852 ≈ 183.

Simplified radical form

The square root of 183 in simplified radical form is √183.

There are no square factors that can be taken outside the radical, so √183 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal13169
Upper or equal14196

Nearby square roots

NumberSquare root
√18013.416407865
√18113.4536240471
√18213.4907375632
√18313.5277492585
√18413.5646599663
√18513.6014705087
√18613.638181697

Number properties

Is 183 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√183 is irrational because 183 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 183.