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What is the Square Root of 17642?

The square root of 17642 is 132.8231907462. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√17642 = 132.8231907462
CalculatedNon-perfect squareIrrational
Exact form√17642
Perfect squareNo
Number typeIrrational
Verification132.82319074622 ≈ 17642

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How the answer is calculated

We solve x2 = 17642. The resulting value is x = 132.8231907462.

Verification: 132.82319074622 ≈ 17642.

Simplified radical form

The square root of 17642 in simplified radical form is √17642.

There are no square factors that can be taken outside the radical, so √17642 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal13217424
Upper or equal13317689

Nearby square roots

NumberSquare root
√17639132.8118970575
√17640132.8156617271
√17641132.81942629
√17642132.8231907462
√17643132.8269550957
√17644132.8307193386
√17645132.8344834747

Number properties

Is 17642 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√17642 is irrational because 17642 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 17642.