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What is the Square Root of 17989?

The square root of 17989 is 134.1230778054. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√17989 = 134.1230778054
CalculatedNon-perfect squareIrrational
Exact form√17989
Perfect squareNo
Number typeIrrational
Verification134.12307780542 ≈ 17989

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How the answer is calculated

We solve x2 = 17989. The resulting value is x = 134.1230778054.

Verification: 134.12307780542 ≈ 17989.

Simplified radical form

The square root of 17989 in simplified radical form is √17989.

There are no square factors that can be taken outside the radical, so √17989 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal13417956
Upper or equal13518225

Nearby square roots

NumberSquare root
√17986134.1118935814
√17987134.1156217597
√17988134.1193498344
√17989134.1230778054
√17990134.1268056728
√17991134.1305334366
√17992134.1342610969

Number properties

Is 17989 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√17989 is irrational because 17989 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 17989.