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What is the Square Root of 20169?

The square root of 20169 is 142.0176045425. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20169 = 142.0176045425
CalculatedNon-perfect squareIrrational
Exact form√20169
Perfect squareNo
Number typeIrrational
Verification142.01760454252 ≈ 20169

On this page

How the answer is calculated

We solve x2 = 20169. The resulting value is x = 142.0176045425.

Verification: 142.01760454252 ≈ 20169.

Simplified radical form

The square root of 20169 in simplified radical form is 9√249.

This is equivalent to √20169, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20166142.0070420789
√20167142.0105629874
√20168142.0140838086
√20169142.0176045425
√20170142.0211251892
√20171142.0246457485
√20172142.0281662206

Number properties

Is 20169 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20169 is irrational because 20169 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 20169.