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What is the Square Root of 21318?

The square root of 21318 is 146.0068491544. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21318 = 146.0068491544
CalculatedNon-perfect squareIrrational
Exact form√21318
Perfect squareNo
Number typeIrrational
Verification146.00684915442 ≈ 21318

On this page

How the answer is calculated

We solve x2 = 21318. The resulting value is x = 146.0068491544.

Verification: 146.00684915442 ≈ 21318.

Simplified radical form

The square root of 21318 in simplified radical form is √21318.

There are no square factors that can be taken outside the radical, so √21318 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21315145.9965753023
√21316146
√21317146.0034246174
√21318146.0068491544
√21319146.0102736111
√21320146.0136979876
√21321146.0171222837

Number properties

Is 21318 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21318 is irrational because 21318 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 21318.