What is the Square Root of 28989?

The square root of 28989 is 170.261563484. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√28989 = 170.261563484
CalculatedNon-perfect squareIrrational
Exact form√28989
Perfect squareNo
Number typeIrrational
Verification170.2615634842 ≈ 28989

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How the answer is calculated

We solve x2 = 28989. The resulting value is x = 170.261563484.

Verification: 170.2615634842 ≈ 28989.

Simplified radical form

The square root of 28989 in simplified radical form is 3√3221.

This is equivalent to √28989, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17028900
Upper or equal17129241

Nearby square roots

NumberSquare root
√28986170.2527532817
√28987170.2556900664
√28988170.2586268005
√28989170.261563484
√28990170.2645001167
√28991170.2674366989
√28992170.2703732303

Number properties

Is 28989 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√28989 is irrational because 28989 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 28989.