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What is the Square Root of 21317?

The square root of 21317 is 146.0034246174. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21317 = 146.0034246174
CalculatedNon-perfect squareIrrational
Exact form√21317
Perfect squareNo
Number typeIrrational
Verification146.00342461742 ≈ 21317

On this page

How the answer is calculated

We solve x2 = 21317. The resulting value is x = 146.0034246174.

Verification: 146.00342461742 ≈ 21317.

Simplified radical form

The square root of 21317 in simplified radical form is √21317.

There are no square factors that can be taken outside the radical, so √21317 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21314145.9931505243
√21315145.9965753023
√21316146
√21317146.0034246174
√21318146.0068491544
√21319146.0102736111
√21320146.0136979876

Number properties

Is 21317 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21317 is irrational because 21317 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 21317.