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What is the Square Root of 269?

The square root of 269 is 16.4012194669. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√269 = 16.4012194669
CalculatedNon-perfect squareIrrational
Exact form√269
Perfect squareNo
Number typeIrrational
Verification16.40121946692 ≈ 269

On this page

How the answer is calculated

We solve x2 = 269. The resulting value is x = 16.4012194669.

Verification: 16.40121946692 ≈ 269.

Simplified radical form

The square root of 269 in simplified radical form is √269.

There are no square factors that can be taken outside the radical, so √269 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16256
Upper or equal17289

Nearby square roots

NumberSquare root
√26616.3095064303
√26716.3401346384
√26816.3707055437
√26916.4012194669
√27016.4316767252
√27116.4620776332
√27216.4924225025

Number properties

Is 269 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√269 is irrational because 269 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 269.