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What is the Square Root of 20800?

The square root of 20800 is 144.2220510186. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20800 = 144.2220510186
CalculatedNon-perfect squareIrrational
Exact form√20800
Perfect squareNo
Number typeIrrational
Verification144.22205101862 ≈ 20800

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How the answer is calculated

We solve x2 = 20800. The resulting value is x = 144.2220510186.

Verification: 144.22205101862 ≈ 20800.

Simplified radical form

The square root of 20800 in simplified radical form is 40√13.

This is equivalent to √20800, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20797144.2116500148
√20798144.2151170994
√20799144.2185841007
√20800144.2220510186
√20801144.2255178531
√20802144.2289846043
√20803144.2324512722

Number properties

Is 20800 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20800 is irrational because 20800 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 20800.