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What is the Square Root of 187?

The square root of 187 is 13.6747943312. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√187 = 13.6747943312
CalculatedNon-perfect squareIrrational
Exact form√187
Perfect squareNo
Number typeIrrational
Verification13.67479433122 ≈ 187

On this page

How the answer is calculated

We solve x2 = 187. The resulting value is x = 13.6747943312.

Verification: 13.67479433122 ≈ 187.

Simplified radical form

The square root of 187 in simplified radical form is √187.

There are no square factors that can be taken outside the radical, so √187 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal13169
Upper or equal14196

Nearby square roots

NumberSquare root
√18413.5646599663
√18513.6014705087
√18613.638181697
√18713.6747943312
√18813.7113092008
√18913.7477270849
√19013.7840487521

Number properties

Is 187 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√187 is irrational because 187 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 187.