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What is the Square Root of 166?

The square root of 166 is 12.8840987267. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√166 = 12.8840987267
CalculatedNon-perfect squareIrrational
Exact form√166
Perfect squareNo
Number typeIrrational
Verification12.88409872672 ≈ 166

On this page

How the answer is calculated

We solve x2 = 166. The resulting value is x = 12.8840987267.

Verification: 12.88409872672 ≈ 166.

Simplified radical form

The square root of 166 in simplified radical form is √166.

There are no square factors that can be taken outside the radical, so √166 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12144
Upper or equal13169

Nearby square roots

NumberSquare root
√16312.7671453348
√16412.8062484749
√16512.8452325787
√16612.8840987267
√16712.9228479833
√16812.9614813968
√16913

Number properties

Is 166 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√166 is irrational because 166 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 166.