What is the Square Root of 29716?

The square root of 29716 is 172.3832938541. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29716 = 172.3832938541
CalculatedNon-perfect squareIrrational
Exact form√29716
Perfect squareNo
Number typeIrrational
Verification172.38329385412 ≈ 29716

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How the answer is calculated

We solve x2 = 29716. The resulting value is x = 172.3832938541.

Verification: 172.38329385412 ≈ 29716.

Simplified radical form

The square root of 29716 in simplified radical form is 2√7429.

This is equivalent to √29716, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17229584
Upper or equal17329929

Nearby square roots

NumberSquare root
√29713172.3745920952
√29714172.3774927303
√29715172.3803933166
√29716172.3832938541
√29717172.3861943428
√29718172.3890947827
√29719172.3919951738

Number properties

Is 29716 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29716 is irrational because 29716 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 29716.