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What is the Square Root of 268?

The square root of 268 is 16.3707055437. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√268 = 16.3707055437
CalculatedNon-perfect squareIrrational
Exact form√268
Perfect squareNo
Number typeIrrational
Verification16.37070554372 ≈ 268

On this page

How the answer is calculated

We solve x2 = 268. The resulting value is x = 16.3707055437.

Verification: 16.37070554372 ≈ 268.

Simplified radical form

The square root of 268 in simplified radical form is 2√67.

This is equivalent to √268, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16256
Upper or equal17289

Nearby square roots

NumberSquare root
√26516.2788205961
√26616.3095064303
√26716.3401346384
√26816.3707055437
√26916.4012194669
√27016.4316767252
√27116.4620776332

Number properties

Is 268 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√268 is irrational because 268 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 268.