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What is the Square Root of 20513?

The square root of 20513 is 143.223601407. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20513 = 143.223601407
CalculatedNon-perfect squareIrrational
Exact form√20513
Perfect squareNo
Number typeIrrational
Verification143.2236014072 ≈ 20513

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How the answer is calculated

We solve x2 = 20513. The resulting value is x = 143.223601407.

Verification: 143.2236014072 ≈ 20513.

Simplified radical form

The square root of 20513 in simplified radical form is √20513.

There are no square factors that can be taken outside the radical, so √20513 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14320449
Upper or equal14420736

Nearby square roots

NumberSquare root
√20510143.2131278899
√20511143.2166191474
√20512143.2201103197
√20513143.223601407
√20514143.2270924092
√20515143.2305833263
√20516143.2340741584

Number properties

Is 20513 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20513 is irrational because 20513 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 20513.