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What is the Square Root of 26852?

The square root of 26852 is 163.8657987501. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√26852 = 163.8657987501
CalculatedNon-perfect squareIrrational
Exact form√26852
Perfect squareNo
Number typeIrrational
Verification163.86579875012 ≈ 26852

On this page

How the answer is calculated

We solve x2 = 26852. The resulting value is x = 163.8657987501.

Verification: 163.86579875012 ≈ 26852.

Simplified radical form

The square root of 26852 in simplified radical form is 14√137.

This is equivalent to √26852, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16326569
Upper or equal16426896

Nearby square roots

NumberSquare root
√26849163.8566446623
√26850163.8596960817
√26851163.8627474443
√26852163.8657987501
√26853163.868849999
√26854163.8719011911
√26855163.8749523265

Number properties

Is 26852 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√26852 is irrational because 26852 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 26852.