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What is the Square Root of 13421?

The square root of 13421 is 115.8490397025. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13421 = 115.8490397025
CalculatedNon-perfect squareIrrational
Exact form√13421
Perfect squareNo
Number typeIrrational
Verification115.84903970252 ≈ 13421

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How the answer is calculated

We solve x2 = 13421. The resulting value is x = 115.8490397025.

Verification: 115.84903970252 ≈ 13421.

Simplified radical form

The square root of 13421 in simplified radical form is √13421.

There are no square factors that can be taken outside the radical, so √13421 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13418115.8360910943
√13419115.8404074578
√13420115.8447236606
√13421115.8490397025
√13422115.8533555837
√13423115.8576713041
√13424115.8619868637

Number properties

Is 13421 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13421 is irrational because 13421 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 13421.