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What is the Square Root of 27242?

The square root of 27242 is 165.0515071122. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27242 = 165.0515071122
CalculatedNon-perfect squareIrrational
Exact form√27242
Perfect squareNo
Number typeIrrational
Verification165.05150711222 ≈ 27242

On this page

How the answer is calculated

We solve x2 = 27242. The resulting value is x = 165.0515071122.

Verification: 165.05150711222 ≈ 27242.

Simplified radical form

The square root of 27242 in simplified radical form is √27242.

There are no square factors that can be taken outside the radical, so √27242 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27239165.0424187898
√27240165.0454482862
√27241165.048477727
√27242165.0515071122
√27243165.0545364417
√27244165.0575657157
√27245165.0605949341

Number properties

Is 27242 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27242 is irrational because 27242 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 27242.