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What is the Square Root of 21301?

The square root of 21301 is 145.9486210966. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21301 = 145.9486210966
CalculatedNon-perfect squareIrrational
Exact form√21301
Perfect squareNo
Number typeIrrational
Verification145.94862109662 ≈ 21301

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How the answer is calculated

We solve x2 = 21301. The resulting value is x = 145.9486210966.

Verification: 145.94862109662 ≈ 21301.

Simplified radical form

The square root of 21301 in simplified radical form is √21301.

There are no square factors that can be taken outside the radical, so √21301 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21298145.9383431453
√21299145.9417692095
√21300145.9451951933
√21301145.9486210966
√21302145.9520469195
√21303145.955472662
√21304145.9588983242

Number properties

Is 21301 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21301 is irrational because 21301 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 21301.