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What is the Square Root of 27243?

The square root of 27243 is 165.0545364417. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27243 = 165.0545364417
CalculatedNon-perfect squareIrrational
Exact form√27243
Perfect squareNo
Number typeIrrational
Verification165.05453644172 ≈ 27243

On this page

How the answer is calculated

We solve x2 = 27243. The resulting value is x = 165.0545364417.

Verification: 165.05453644172 ≈ 27243.

Simplified radical form

The square root of 27243 in simplified radical form is 3√3027.

This is equivalent to √27243, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27240165.0454482862
√27241165.048477727
√27242165.0515071122
√27243165.0545364417
√27244165.0575657157
√27245165.0605949341
√27246165.0636240969

Number properties

Is 27243 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27243 is irrational because 27243 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 27243.