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What is the Square Root of 20996?

The square root of 20996 is 144.8999654934. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20996 = 144.8999654934
CalculatedNon-perfect squareIrrational
Exact form√20996
Perfect squareNo
Number typeIrrational
Verification144.89996549342 ≈ 20996

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How the answer is calculated

We solve x2 = 20996. The resulting value is x = 144.8999654934.

Verification: 144.89996549342 ≈ 20996.

Simplified radical form

The square root of 20996 in simplified radical form is 2√5249.

This is equivalent to √20996, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20993144.8896131543
√20994144.8930640162
√20995144.8965147959
√20996144.8999654934
√20997144.9034161088
√20998144.906866642
√20999144.910317093

Number properties

Is 20996 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20996 is irrational because 20996 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 20996.