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What is the Square Root of 20400?

The square root of 20400 is 142.8285685709. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20400 = 142.8285685709
CalculatedNon-perfect squareIrrational
Exact form√20400
Perfect squareNo
Number typeIrrational
Verification142.82856857092 ≈ 20400

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How the answer is calculated

We solve x2 = 20400. The resulting value is x = 142.8285685709.

Verification: 142.82856857092 ≈ 20400.

Simplified radical form

The square root of 20400 in simplified radical form is 20√51.

This is equivalent to √20400, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20397142.8180660841
√20398142.8215669988
√20399142.8250678277
√20400142.8285685709
√20401142.8320692282
√20402142.8355697997
√20403142.8390702854

Number properties

Is 20400 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20400 is irrational because 20400 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 20400.