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What is the Square Root of 176?

The square root of 176 is 13.2664991614. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√176 = 13.2664991614
CalculatedNon-perfect squareIrrational
Exact form√176
Perfect squareNo
Number typeIrrational
Verification13.26649916142 ≈ 176

On this page

How the answer is calculated

We solve x2 = 176. The resulting value is x = 13.2664991614.

Verification: 13.26649916142 ≈ 176.

Simplified radical form

The square root of 176 in simplified radical form is 4√11.

This is equivalent to √176, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal13169
Upper or equal14196

Nearby square roots

NumberSquare root
√17313.152946438
√17413.1909059583
√17513.2287565553
√17613.2664991614
√17713.3041346957
√17813.3416640641
√17913.3790881603

Number properties

Is 176 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√176 is irrational because 176 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 176.