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What is the Square Root of 17942?

The square root of 17942 is 133.9477510076. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√17942 = 133.9477510076
CalculatedNon-perfect squareIrrational
Exact form√17942
Perfect squareNo
Number typeIrrational
Verification133.94775100762 ≈ 17942

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How the answer is calculated

We solve x2 = 17942. The resulting value is x = 133.9477510076.

Verification: 133.94775100762 ≈ 17942.

Simplified radical form

The square root of 17942 in simplified radical form is √17942.

There are no square factors that can be taken outside the radical, so √17942 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal13317689
Upper or equal13417956

Nearby square roots

NumberSquare root
√17939133.9365521432
√17940133.940285202
√17941133.9440181568
√17942133.9477510076
√17943133.9514837544
√17944133.9552163971
√17945133.9589489359

Number properties

Is 17942 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√17942 is irrational because 17942 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 17942.