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What is the Square Root of 27167?

The square root of 27167 is 164.8241487161. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27167 = 164.8241487161
CalculatedNon-perfect squareIrrational
Exact form√27167
Perfect squareNo
Number typeIrrational
Verification164.82414871612 ≈ 27167

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How the answer is calculated

We solve x2 = 27167. The resulting value is x = 164.8241487161.

Verification: 164.82414871612 ≈ 27167.

Simplified radical form

The square root of 27167 in simplified radical form is √27167.

There are no square factors that can be taken outside the radical, so √27167 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27164164.8150478567
√27165164.8180815323
√27166164.8211151522
√27167164.8241487161
√27168164.8271822243
√27169164.8302156766
√27170164.8332490731

Number properties

Is 27167 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27167 is irrational because 27167 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 27167.