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What is the Square Root of 27424?

The square root of 27424 is 165.6019323559. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27424 = 165.6019323559
CalculatedNon-perfect squareIrrational
Exact form√27424
Perfect squareNo
Number typeIrrational
Verification165.60193235592 ≈ 27424

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How the answer is calculated

We solve x2 = 27424. The resulting value is x = 165.6019323559.

Verification: 165.60193235592 ≈ 27424.

Simplified radical form

The square root of 27424 in simplified radical form is 4√1714.

This is equivalent to √27424, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27421165.5928742428
√27422165.5958936689
√27423165.5989130399
√27424165.6019323559
√27425165.6049516168
√27426165.6079708227
√27427165.6109899735

Number properties

Is 27424 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27424 is irrational because 27424 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 27424.