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What is the Square Root of 26952?

The square root of 26952 is 164.1706429298. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√26952 = 164.1706429298
CalculatedNon-perfect squareIrrational
Exact form√26952
Perfect squareNo
Number typeIrrational
Verification164.17064292982 ≈ 26952

On this page

How the answer is calculated

We solve x2 = 26952. The resulting value is x = 164.1706429298.

Verification: 164.17064292982 ≈ 26952.

Simplified radical form

The square root of 26952 in simplified radical form is 2√6738.

This is equivalent to √26952, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√26949164.161505841
√26950164.1645515938
√26951164.1675972901
√26952164.1706429298
√26953164.1736885131
√26954164.1767340399
√26955164.1797795101

Number properties

Is 26952 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√26952 is irrational because 26952 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 26952.