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What is the Square Root of 20988?

The square root of 20988 is 144.8723576118. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20988 = 144.8723576118
CalculatedNon-perfect squareIrrational
Exact form√20988
Perfect squareNo
Number typeIrrational
Verification144.87235761182 ≈ 20988

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How the answer is calculated

We solve x2 = 20988. The resulting value is x = 144.8723576118.

Verification: 144.87235761182 ≈ 20988.

Simplified radical form

The square root of 20988 in simplified radical form is 6√583.

This is equivalent to √20988, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20985144.8620032997
√20986144.8654548193
√20987144.8689062567
√20988144.8723576118
√20989144.8758088847
√20990144.8792600754
√20991144.8827111839

Number properties

Is 20988 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20988 is irrational because 20988 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 20988.