What is the Square Root of 188?

The square root of 188 is 13.7113092008. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√188 = 13.7113092008
CalculatedNon-perfect squareIrrational
Exact form√188
Perfect squareNo
Number typeIrrational
Verification13.71130920082 ≈ 188

On this page

How the answer is calculated

We solve x2 = 188. The resulting value is x = 13.7113092008.

Verification: 13.71130920082 ≈ 188.

Simplified radical form

The square root of 188 in simplified radical form is 2√47.

This is equivalent to √188, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal13169
Upper or equal14196

Nearby square roots

NumberSquare root
√18513.6014705087
√18613.638181697
√18713.6747943312
√18813.7113092008
√18913.7477270849
√19013.7840487521
√19113.8202749611

Number properties

Is 188 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√188 is irrational because 188 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 188.