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What is the Square Root of 29742?

The square root of 29742 is 172.4586907059. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29742 = 172.4586907059
CalculatedNon-perfect squareIrrational
Exact form√29742
Perfect squareNo
Number typeIrrational
Verification172.45869070592 ≈ 29742

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How the answer is calculated

We solve x2 = 29742. The resulting value is x = 172.4586907059.

Verification: 172.45869070592 ≈ 29742.

Simplified radical form

The square root of 29742 in simplified radical form is √29742.

There are no square factors that can be taken outside the radical, so √29742 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal17229584
Upper or equal17329929

Nearby square roots

NumberSquare root
√29739172.4499927515
√29740172.4528921184
√29741172.4557914365
√29742172.4586907059
√29743172.4615899266
√29744172.4644890985
√29745172.4673882217

Number properties

Is 29742 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29742 is irrational because 29742 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 29742.