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What is the Square Root of 18364?

The square root of 18364 is 135.5138369319. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√18364 = 135.5138369319
CalculatedNon-perfect squareIrrational
Exact form√18364
Perfect squareNo
Number typeIrrational
Verification135.51383693192 ≈ 18364

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How the answer is calculated

We solve x2 = 18364. The resulting value is x = 135.5138369319.

Verification: 135.51383693192 ≈ 18364.

Simplified radical form

The square root of 18364 in simplified radical form is 2√4591.

This is equivalent to √18364, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal13518225
Upper or equal13618496

Nearby square roots

NumberSquare root
√18361135.5027674994
√18362135.5064574107
√18363135.5101472215
√18364135.5138369319
√18365135.5175265418
√18366135.5212160512
√18367135.5249054602

Number properties

Is 18364 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√18364 is irrational because 18364 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 18364.