What is the Square Root of 29713?

The square root of 29713 is 172.3745920952. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29713 = 172.3745920952
CalculatedNon-perfect squareIrrational
Exact form√29713
Perfect squareNo
Number typeIrrational
Verification172.37459209522 ≈ 29713

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How the answer is calculated

We solve x2 = 29713. The resulting value is x = 172.3745920952.

Verification: 172.37459209522 ≈ 29713.

Simplified radical form

The square root of 29713 in simplified radical form is √29713.

There are no square factors that can be taken outside the radical, so √29713 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal17229584
Upper or equal17329929

Nearby square roots

NumberSquare root
√29710172.365889897
√29711172.3687906786
√29712172.3716914113
√29713172.3745920952
√29714172.3774927303
√29715172.3803933166
√29716172.3832938541

Number properties

Is 29713 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29713 is irrational because 29713 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 29713.