What is the Square Root of 26964?

The square root of 26964 is 164.2071862008. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√26964 = 164.2071862008
CalculatedNon-perfect squareIrrational
Exact form√26964
Perfect squareNo
Number typeIrrational
Verification164.20718620082 ≈ 26964

On this page

How the answer is calculated

We solve x2 = 26964. The resulting value is x = 164.2071862008.

Verification: 164.20718620082 ≈ 26964.

Simplified radical form

The square root of 26964 in simplified radical form is 6√749.

This is equivalent to √26964, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√26961164.1980511456
√26962164.2010962205
√26963164.2041412389
√26964164.2071862008
√26965164.2102311063
√26966164.2132759554
√26967164.216320748

Number properties

Is 26964 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√26964 is irrational because 26964 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 26964.