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What is the Square Root of 17842?

The square root of 17842 is 133.573949556. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√17842 = 133.573949556
CalculatedNon-perfect squareIrrational
Exact form√17842
Perfect squareNo
Number typeIrrational
Verification133.5739495562 ≈ 17842

On this page

How the answer is calculated

We solve x2 = 17842. The resulting value is x = 133.573949556.

Verification: 133.5739495562 ≈ 17842.

Simplified radical form

The square root of 17842 in simplified radical form is √17842.

There are no square factors that can be taken outside the radical, so √17842 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal13317689
Upper or equal13417956

Nearby square roots

NumberSquare root
√17839133.5627193494
√17840133.5664628565
√17841133.5702062587
√17842133.573949556
√17843133.5776927485
√17844133.581435836
√17845133.5851788186

Number properties

Is 17842 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√17842 is irrational because 17842 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 17842.