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What is the Square Root of 20385?

The square root of 20385 is 142.7760484115. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20385 = 142.7760484115
CalculatedNon-perfect squareIrrational
Exact form√20385
Perfect squareNo
Number typeIrrational
Verification142.77604841152 ≈ 20385

On this page

How the answer is calculated

We solve x2 = 20385. The resulting value is x = 142.7760484115.

Verification: 142.77604841152 ≈ 20385.

Simplified radical form

The square root of 20385 in simplified radical form is 3√2265.

This is equivalent to √20385, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20382142.7655420611
√20383142.7690442638
√20384142.7725463806
√20385142.7760484115
√20386142.7795503565
√20387142.7830522156
√20388142.7865539888

Number properties

Is 20385 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20385 is irrational because 20385 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 20385.