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What is the Square Root of 27464?

The square root of 27464 is 165.7226598869. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27464 = 165.7226598869
CalculatedNon-perfect squareIrrational
Exact form√27464
Perfect squareNo
Number typeIrrational
Verification165.72265988692 ≈ 27464

On this page

How the answer is calculated

We solve x2 = 27464. The resulting value is x = 165.7226598869.

Verification: 165.72265988692 ≈ 27464.

Simplified radical form

The square root of 27464 in simplified radical form is 2√6866.

This is equivalent to √27464, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27461165.713608373
√27462165.7166255992
√27463165.7196427706
√27464165.7226598869
√27465165.7256769484
√27466165.7286939549
√27467165.7317109065

Number properties

Is 27464 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27464 is irrational because 27464 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 27464.