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What is the Square Root of 27413?

The square root of 27413 is 165.5687168519. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27413 = 165.5687168519
CalculatedNon-perfect squareIrrational
Exact form√27413
Perfect squareNo
Number typeIrrational
Verification165.56871685192 ≈ 27413

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How the answer is calculated

We solve x2 = 27413. The resulting value is x = 165.5687168519.

Verification: 165.56871685192 ≈ 27413.

Simplified radical form

The square root of 27413 in simplified radical form is √27413.

There are no square factors that can be taken outside the radical, so √27413 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27410165.5596569216
√27411165.5626769535
√27412165.5656969303
√27413165.5687168519
√27414165.5717367186
√27415165.5747565301
√27416165.5777762866

Number properties

Is 27413 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27413 is irrational because 27413 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 27413.