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What is the Square Root of 20987?

The square root of 20987 is 144.8689062567. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20987 = 144.8689062567
CalculatedNon-perfect squareIrrational
Exact form√20987
Perfect squareNo
Number typeIrrational
Verification144.86890625672 ≈ 20987

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How the answer is calculated

We solve x2 = 20987. The resulting value is x = 144.8689062567.

Verification: 144.86890625672 ≈ 20987.

Simplified radical form

The square root of 20987 in simplified radical form is √20987.

There are no square factors that can be taken outside the radical, so √20987 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20984144.8585516979
√20985144.8620032997
√20986144.8654548193
√20987144.8689062567
√20988144.8723576118
√20989144.8758088847
√20990144.8792600754

Number properties

Is 20987 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20987 is irrational because 20987 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 20987.