What is the Square Root of 17464?

The square root of 17464 is 132.1514282935. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√17464 = 132.1514282935
CalculatedNon-perfect squareIrrational
Exact form√17464
Perfect squareNo
Number typeIrrational
Verification132.15142829352 ≈ 17464

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How the answer is calculated

We solve x2 = 17464. The resulting value is x = 132.1514282935.

Verification: 132.15142829352 ≈ 17464.

Simplified radical form

The square root of 17464 in simplified radical form is 2√4366.

This is equivalent to √17464, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal13217424
Upper or equal13317689

Nearby square roots

NumberSquare root
√17461132.1400771908
√17462132.143861
√17463132.1476447009
√17464132.1514282935
√17465132.1552117777
√17466132.1589951536
√17467132.1627784212

Number properties

Is 17464 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√17464 is irrational because 17464 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 17464.