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What is the Square Root of 20709?

The square root of 20709 is 143.9062194625. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20709 = 143.9062194625
CalculatedNon-perfect squareIrrational
Exact form√20709
Perfect squareNo
Number typeIrrational
Verification143.90621946252 ≈ 20709

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How the answer is calculated

We solve x2 = 20709. The resulting value is x = 143.9062194625.

Verification: 143.90621946252 ≈ 20709.

Simplified radical form

The square root of 20709 in simplified radical form is 3√2301.

This is equivalent to √20709, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14320449
Upper or equal14420736

Nearby square roots

NumberSquare root
√20706143.89579563
√20707143.8992703248
√20708143.9027449356
√20709143.9062194625
√20710143.9096939056
√20711143.9131682648
√20712143.91664254

Number properties

Is 20709 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20709 is irrational because 20709 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 20709.