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What is the Square Root of 199?

The square root of 199 is 14.1067359797. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√199 = 14.1067359797
CalculatedNon-perfect squareIrrational
Exact form√199
Perfect squareNo
Number typeIrrational
Verification14.10673597972 ≈ 199

On this page

How the answer is calculated

We solve x2 = 199. The resulting value is x = 14.1067359797.

Verification: 14.10673597972 ≈ 199.

Simplified radical form

The square root of 199 in simplified radical form is √199.

There are no square factors that can be taken outside the radical, so √199 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14196
Upper or equal15225

Nearby square roots

NumberSquare root
√19614
√19714.0356688476
√19814.0712472795
√19914.1067359797
√20014.1421356237
√20114.1774468788
√20214.2126704036

Number properties

Is 199 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√199 is irrational because 199 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 199.