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What is the Square Root of 17991?

The square root of 17991 is 134.1305334366. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√17991 = 134.1305334366
CalculatedNon-perfect squareIrrational
Exact form√17991
Perfect squareNo
Number typeIrrational
Verification134.13053343662 ≈ 17991

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How the answer is calculated

We solve x2 = 17991. The resulting value is x = 134.1305334366.

Verification: 134.13053343662 ≈ 17991.

Simplified radical form

The square root of 17991 in simplified radical form is 3√1999.

This is equivalent to √17991, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal13417956
Upper or equal13518225

Nearby square roots

NumberSquare root
√17988134.1193498344
√17989134.1230778054
√17990134.1268056728
√17991134.1305334366
√17992134.1342610969
√17993134.1379886535
√17994134.1417161065

Number properties

Is 17991 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√17991 is irrational because 17991 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 17991.