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What is the Square Root of 7164?

The square root of 7164 is 84.640415878. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√7164 = 84.640415878
CalculatedNon-perfect squareIrrational
Exact form√7164
Perfect squareNo
Number typeIrrational
Verification84.6404158782 ≈ 7164

On this page

How the answer is calculated

We solve x2 = 7164. The resulting value is x = 84.640415878.

Verification: 84.6404158782 ≈ 7164.

Simplified radical form

The square root of 7164 in simplified radical form is 6√199.

This is equivalent to √7164, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal847056
Upper or equal857225

Nearby square roots

NumberSquare root
√716184.6226919922
√716284.6286003665
√716384.6345083285
√716484.640415878
√716584.6463230152
√716684.6522297403
√716784.6581360532

Number properties

Is 7164 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√7164 is irrational because 7164 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 7164.