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What is the Square Root of 26996?

The square root of 26996 is 164.3045951883. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√26996 = 164.3045951883
CalculatedNon-perfect squareIrrational
Exact form√26996
Perfect squareNo
Number typeIrrational
Verification164.30459518832 ≈ 26996

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How the answer is calculated

We solve x2 = 26996. The resulting value is x = 164.3045951883.

Verification: 164.30459518832 ≈ 26996.

Simplified radical form

The square root of 26996 in simplified radical form is 2√6749.

This is equivalent to √26996, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√26993164.2954655491
√26994164.2985088186
√26995164.3015520316
√26996164.3045951883
√26997164.3076382887
√26998164.3106813327
√26999164.3137243203

Number properties

Is 26996 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√26996 is irrational because 26996 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 26996.