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What is the Square Root of 7209?

The square root of 7209 is 84.9058301885. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√7209 = 84.9058301885
CalculatedNon-perfect squareIrrational
Exact form√7209
Perfect squareNo
Number typeIrrational
Verification84.90583018852 ≈ 7209

On this page

How the answer is calculated

We solve x2 = 7209. The resulting value is x = 84.9058301885.

Verification: 84.90583018852 ≈ 7209.

Simplified radical form

The square root of 7209 in simplified radical form is 9√89.

This is equivalent to √7209, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal847056
Upper or equal857225

Nearby square roots

NumberSquare root
√720684.8881617188
√720784.8940516173
√720884.8999411072
√720984.9058301885
√721084.9117188614
√721184.917607126
√721284.9234949822

Number properties

Is 7209 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√7209 is irrational because 7209 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 7209.