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What is the Square Root of 29709?

The square root of 29709 is 172.3629890667. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29709 = 172.3629890667
CalculatedNon-perfect squareIrrational
Exact form√29709
Perfect squareNo
Number typeIrrational
Verification172.36298906672 ≈ 29709

On this page

How the answer is calculated

We solve x2 = 29709. The resulting value is x = 172.3629890667.

Verification: 172.36298906672 ≈ 29709.

Simplified radical form

The square root of 29709 in simplified radical form is 3√3301.

This is equivalent to √29709, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17229584
Upper or equal17329929

Nearby square roots

NumberSquare root
√29706172.3542862826
√29707172.3571872595
√29708172.3600881875
√29709172.3629890667
√29710172.365889897
√29711172.3687906786
√29712172.3716914113

Number properties

Is 29709 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29709 is irrational because 29709 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 29709.