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What is the Square Root of 27248?

The square root of 27248 is 165.0696822557. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27248 = 165.0696822557
CalculatedNon-perfect squareIrrational
Exact form√27248
Perfect squareNo
Number typeIrrational
Verification165.06968225572 ≈ 27248

On this page

How the answer is calculated

We solve x2 = 27248. The resulting value is x = 165.0696822557.

Verification: 165.06968225572 ≈ 27248.

Simplified radical form

The square root of 27248 in simplified radical form is 4√1703.

This is equivalent to √27248, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27245165.0605949341
√27246165.0636240969
√27247165.0666532041
√27248165.0696822557
√27249165.0727112517
√27250165.0757401922
√27251165.0787690771

Number properties

Is 27248 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27248 is irrational because 27248 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 27248.