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What is the Square Root of 29745?

The square root of 29745 is 172.4673882217. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29745 = 172.4673882217
CalculatedNon-perfect squareIrrational
Exact form√29745
Perfect squareNo
Number typeIrrational
Verification172.46738822172 ≈ 29745

On this page

How the answer is calculated

We solve x2 = 29745. The resulting value is x = 172.4673882217.

Verification: 172.46738822172 ≈ 29745.

Simplified radical form

The square root of 29745 in simplified radical form is 3√3305.

This is equivalent to √29745, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17229584
Upper or equal17329929

Nearby square roots

NumberSquare root
√29742172.4586907059
√29743172.4615899266
√29744172.4644890985
√29745172.4673882217
√29746172.4702872961
√29747172.4731863218
√29748172.4760852988

Number properties

Is 29745 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29745 is irrational because 29745 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 29745.