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What is the Square Root of 197?

The square root of 197 is 14.0356688476. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√197 = 14.0356688476
CalculatedNon-perfect squareIrrational
Exact form√197
Perfect squareNo
Number typeIrrational
Verification14.03566884762 ≈ 197

On this page

How the answer is calculated

We solve x2 = 197. The resulting value is x = 14.0356688476.

Verification: 14.03566884762 ≈ 197.

Simplified radical form

The square root of 197 in simplified radical form is √197.

There are no square factors that can be taken outside the radical, so √197 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14196
Upper or equal15225

Nearby square roots

NumberSquare root
√19413.9283882772
√19513.9642400438
√19614
√19714.0356688476
√19814.0712472795
√19914.1067359797
√20014.1421356237

Number properties

Is 197 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√197 is irrational because 197 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 197.