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What is the Square Root of 18464?

The square root of 18464 is 135.8823020117. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√18464 = 135.8823020117
CalculatedNon-perfect squareIrrational
Exact form√18464
Perfect squareNo
Number typeIrrational
Verification135.88230201172 ≈ 18464

On this page

How the answer is calculated

We solve x2 = 18464. The resulting value is x = 135.8823020117.

Verification: 135.88230201172 ≈ 18464.

Simplified radical form

The square root of 18464 in simplified radical form is 4√1154.

This is equivalent to √18464, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal13518225
Upper or equal13618496

Nearby square roots

NumberSquare root
√18461135.8712625981
√18462135.8749425023
√18463135.8786223068
√18464135.8823020117
√18465135.8859816169
√18466135.8896611225
√18467135.8933405285

Number properties

Is 18464 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√18464 is irrational because 18464 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 18464.