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What is the Square Root of 27200?

The square root of 27200 is 164.9242250247. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27200 = 164.9242250247
CalculatedNon-perfect squareIrrational
Exact form√27200
Perfect squareNo
Number typeIrrational
Verification164.92422502472 ≈ 27200

On this page

How the answer is calculated

We solve x2 = 27200. The resulting value is x = 164.9242250247.

Verification: 164.92422502472 ≈ 27200.

Simplified radical form

The square root of 27200 in simplified radical form is 40√17.

This is equivalent to √27200, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27197164.915129688
√27198164.9181615226
√27199164.9211933015
√27200164.9242250247
√27201164.9272566922
√27202164.9302883039
√27203164.9333198599

Number properties

Is 27200 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27200 is irrational because 27200 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 27200.