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What is the Square Root of 217?

The square root of 217 is 14.7309198627. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√217 = 14.7309198627
CalculatedNon-perfect squareIrrational
Exact form√217
Perfect squareNo
Number typeIrrational
Verification14.73091986272 ≈ 217

On this page

How the answer is calculated

We solve x2 = 217. The resulting value is x = 14.7309198627.

Verification: 14.73091986272 ≈ 217.

Simplified radical form

The square root of 217 in simplified radical form is √217.

There are no square factors that can be taken outside the radical, so √217 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14196
Upper or equal15225

Nearby square roots

NumberSquare root
√21414.6287388383
√21514.6628782986
√21614.6969384567
√21714.7309198627
√21814.7648230602
√21914.7986485869
√22014.8323969742

Number properties

Is 217 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√217 is irrational because 217 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 217.