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What is the Square Root of 27066?

The square root of 27066 is 164.5174762753. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27066 = 164.5174762753
CalculatedNon-perfect squareIrrational
Exact form√27066
Perfect squareNo
Number typeIrrational
Verification164.51747627532 ≈ 27066

On this page

How the answer is calculated

We solve x2 = 27066. The resulting value is x = 164.5174762753.

Verification: 164.51747627532 ≈ 27066.

Simplified radical form

The square root of 27066 in simplified radical form is √27066.

There are no square factors that can be taken outside the radical, so √27066 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27063164.5083584503
√27064164.5113977814
√27065164.5144370564
√27066164.5174762753
√27067164.520515438
√27068164.5235545446
√27069164.5265935951

Number properties

Is 27066 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27066 is irrational because 27066 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 27066.