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What is the Square Root of 2189?

The square root of 2189 is 46.7867502612. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√2189 = 46.7867502612
CalculatedNon-perfect squareIrrational
Exact form√2189
Perfect squareNo
Number typeIrrational
Verification46.78675026122 ≈ 2189

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How the answer is calculated

We solve x2 = 2189. The resulting value is x = 46.7867502612.

Verification: 46.78675026122 ≈ 2189.

Simplified radical form

The square root of 2189 in simplified radical form is √2189.

There are no square factors that can be taken outside the radical, so √2189 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal462116
Upper or equal472209

Nearby square roots

NumberSquare root
√218646.7546789102
√218746.7653718044
√218846.7760622541
√218946.7867502612
√219046.7974358272
√219146.8081189539
√219246.8187996429

Number properties

Is 2189 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√2189 is irrational because 2189 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 2189.