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What is the Square Root of 17983?

The square root of 17983 is 134.1007084247. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√17983 = 134.1007084247
CalculatedNon-perfect squareIrrational
Exact form√17983
Perfect squareNo
Number typeIrrational
Verification134.10070842472 ≈ 17983

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How the answer is calculated

We solve x2 = 17983. The resulting value is x = 134.1007084247.

Verification: 134.10070842472 ≈ 17983.

Simplified radical form

The square root of 17983 in simplified radical form is 7√367.

This is equivalent to √17983, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal13417956
Upper or equal13518225

Nearby square roots

NumberSquare root
√17980134.0895223349
√17981134.0932511352
√17982134.0969798318
√17983134.1007084247
√17984134.1044369139
√17985134.1081652995
√17986134.1118935814

Number properties

Is 17983 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√17983 is irrational because 17983 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 17983.