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What is the Square Root of 29748?

The square root of 29748 is 172.4760852988. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29748 = 172.4760852988
CalculatedNon-perfect squareIrrational
Exact form√29748
Perfect squareNo
Number typeIrrational
Verification172.47608529882 ≈ 29748

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How the answer is calculated

We solve x2 = 29748. The resulting value is x = 172.4760852988.

Verification: 172.47608529882 ≈ 29748.

Simplified radical form

The square root of 29748 in simplified radical form is 2√7437.

This is equivalent to √29748, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17229584
Upper or equal17329929

Nearby square roots

NumberSquare root
√29745172.4673882217
√29746172.4702872961
√29747172.4731863218
√29748172.4760852988
√29749172.4789842271
√29750172.4818831066
√29751172.4847819374

Number properties

Is 29748 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29748 is irrational because 29748 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 29748.