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What is the Square Root of 27421?

The square root of 27421 is 165.5928742428. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27421 = 165.5928742428
CalculatedNon-perfect squareIrrational
Exact form√27421
Perfect squareNo
Number typeIrrational
Verification165.59287424282 ≈ 27421

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How the answer is calculated

We solve x2 = 27421. The resulting value is x = 165.5928742428.

Verification: 165.59287424282 ≈ 27421.

Simplified radical form

The square root of 27421 in simplified radical form is √27421.

There are no square factors that can be taken outside the radical, so √27421 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27418165.5838156343
√27419165.5868352255
√27420165.5898547617
√27421165.5928742428
√27422165.5958936689
√27423165.5989130399
√27424165.6019323559

Number properties

Is 27421 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27421 is irrational because 27421 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 27421.