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What is the Square Root of 21314?

The square root of 21314 is 145.9931505243. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21314 = 145.9931505243
CalculatedNon-perfect squareIrrational
Exact form√21314
Perfect squareNo
Number typeIrrational
Verification145.99315052432 ≈ 21314

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How the answer is calculated

We solve x2 = 21314. The resulting value is x = 145.9931505243.

Verification: 145.99315052432 ≈ 21314.

Simplified radical form

The square root of 21314 in simplified radical form is √21314.

There are no square factors that can be taken outside the radical, so √21314 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21311145.9828757081
√21312145.9863007272
√21313145.9897256659
√21314145.9931505243
√21315145.9965753023
√21316146
√21317146.0034246174

Number properties

Is 21314 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21314 is irrational because 21314 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 21314.