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What is the Square Root of 27077?

The square root of 27077 is 164.5509039781. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27077 = 164.5509039781
CalculatedNon-perfect squareIrrational
Exact form√27077
Perfect squareNo
Number typeIrrational
Verification164.55090397812 ≈ 27077

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How the answer is calculated

We solve x2 = 27077. The resulting value is x = 164.5509039781.

Verification: 164.55090397812 ≈ 27077.

Simplified radical form

The square root of 27077 in simplified radical form is √27077.

There are no square factors that can be taken outside the radical, so √27077 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27074164.5417880054
√27075164.544826719
√27076164.5478653766
√27077164.5509039781
√27078164.5539425234
√27079164.5569810127
√27080164.5600194458

Number properties

Is 27077 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27077 is irrational because 27077 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 27077.