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What is the Square Root of 16709?

The square root of 16709 is 129.2632971883. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16709 = 129.2632971883
CalculatedNon-perfect squareIrrational
Exact form√16709
Perfect squareNo
Number typeIrrational
Verification129.26329718832 ≈ 16709

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How the answer is calculated

We solve x2 = 16709. The resulting value is x = 129.2632971883.

Verification: 129.26329718832 ≈ 16709.

Simplified radical form

The square root of 16709 in simplified radical form is 7√341.

This is equivalent to √16709, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12916641
Upper or equal13016900

Nearby square roots

NumberSquare root
√16706129.2516924454
√16707129.2555608088
√16708129.2594290565
√16709129.2632971883
√16710129.2671652045
√16711129.2710331049
√16712129.2749008895

Number properties

Is 16709 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16709 is irrational because 16709 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 16709.