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What is the Square Root of 7104?

The square root of 7104 is 84.2852300228. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√7104 = 84.2852300228
CalculatedNon-perfect squareIrrational
Exact form√7104
Perfect squareNo
Number typeIrrational
Verification84.28523002282 ≈ 7104

On this page

How the answer is calculated

We solve x2 = 7104. The resulting value is x = 84.2852300228.

Verification: 84.28523002282 ≈ 7104.

Simplified radical form

The square root of 7104 in simplified radical form is 8√111.

This is equivalent to √7104, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal847056
Upper or equal857225

Nearby square roots

NumberSquare root
√710184.2674314311
√710284.2733647127
√710384.2792975766
√710484.2852300228
√710584.2911620515
√710684.2970936628
√710784.3030248568

Number properties

Is 7104 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√7104 is irrational because 7104 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 7104.