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What is the Square Root of 27472?

The square root of 27472 is 165.7467948408. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27472 = 165.7467948408
CalculatedNon-perfect squareIrrational
Exact form√27472
Perfect squareNo
Number typeIrrational
Verification165.74679484082 ≈ 27472

On this page

How the answer is calculated

We solve x2 = 27472. The resulting value is x = 165.7467948408.

Verification: 165.74679484082 ≈ 27472.

Simplified radical form

The square root of 27472 in simplified radical form is 4√1717.

This is equivalent to √27472, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27469165.737744645
√27470165.7407614318
√27471165.7437781638
√27472165.7467948408
√27473165.7498114629
√27474165.7528280302
√27475165.7558445425

Number properties

Is 27472 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27472 is irrational because 27472 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 27472.