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What is the Square Root of 2169?

The square root of 2169 is 46.5725240888. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√2169 = 46.5725240888
CalculatedNon-perfect squareIrrational
Exact form√2169
Perfect squareNo
Number typeIrrational
Verification46.57252408882 ≈ 2169

On this page

How the answer is calculated

We solve x2 = 2169. The resulting value is x = 46.5725240888.

Verification: 46.57252408882 ≈ 2169.

Simplified radical form

The square root of 2169 in simplified radical form is 3√241.

This is equivalent to √2169, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal462116
Upper or equal472209

Nearby square roots

NumberSquare root
√216646.5403051129
√216746.5510472492
√216846.5617869073
√216946.5725240888
√217046.5832587954
√217146.5939910289
√217246.6047207909

Number properties

Is 2169 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√2169 is irrational because 2169 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 2169.