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What is the Square Root of 20724?

The square root of 20724 is 143.9583273034. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20724 = 143.9583273034
CalculatedNon-perfect squareIrrational
Exact form√20724
Perfect squareNo
Number typeIrrational
Verification143.95832730342 ≈ 20724

On this page

How the answer is calculated

We solve x2 = 20724. The resulting value is x = 143.9583273034.

Verification: 143.95832730342 ≈ 20724.

Simplified radical form

The square root of 20724 in simplified radical form is 2√5181.

This is equivalent to √20724, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14320449
Upper or equal14420736

Nearby square roots

NumberSquare root
√20721143.9479072443
√20722143.9513806811
√20723143.9548540342
√20724143.9583273034
√20725143.9618004889
√20726143.9652735905
√20727143.9687466084

Number properties

Is 20724 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20724 is irrational because 20724 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 20724.