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What is the Square Root of 21313?

The square root of 21313 is 145.9897256659. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21313 = 145.9897256659
CalculatedNon-perfect squareIrrational
Exact form√21313
Perfect squareNo
Number typeIrrational
Verification145.98972566592 ≈ 21313

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How the answer is calculated

We solve x2 = 21313. The resulting value is x = 145.9897256659.

Verification: 145.98972566592 ≈ 21313.

Simplified radical form

The square root of 21313 in simplified radical form is √21313.

There are no square factors that can be taken outside the radical, so √21313 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21310145.9794506086
√21311145.9828757081
√21312145.9863007272
√21313145.9897256659
√21314145.9931505243
√21315145.9965753023
√21316146

Number properties

Is 21313 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21313 is irrational because 21313 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 21313.