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What is the Square Root of 20997?

The square root of 20997 is 144.9034161088. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20997 = 144.9034161088
CalculatedNon-perfect squareIrrational
Exact form√20997
Perfect squareNo
Number typeIrrational
Verification144.90341610882 ≈ 20997

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How the answer is calculated

We solve x2 = 20997. The resulting value is x = 144.9034161088.

Verification: 144.90341610882 ≈ 20997.

Simplified radical form

The square root of 20997 in simplified radical form is 3√2333.

This is equivalent to √20997, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20994144.8930640162
√20995144.8965147959
√20996144.8999654934
√20997144.9034161088
√20998144.906866642
√20999144.910317093
√21000144.9137674619

Number properties

Is 20997 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20997 is irrational because 20997 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 20997.