Infolity
  1. Home
  2. Calculators
  3. Square Root

What is the Square Root of 7089?

The square root of 7089 is 84.1961994392. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√7089 = 84.1961994392
CalculatedNon-perfect squareIrrational
Exact form√7089
Perfect squareNo
Number typeIrrational
Verification84.19619943922 ≈ 7089

On this page

How the answer is calculated

We solve x2 = 7089. The resulting value is x = 84.1961994392.

Verification: 84.19619943922 ≈ 7089.

Simplified radical form

The square root of 7089 in simplified radical form is √7089.

There are no square factors that can be taken outside the radical, so √7089 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal847056
Upper or equal857225

Nearby square roots

NumberSquare root
√708684.1783820229
√708784.1843215807
√708884.1902607194
√708984.1961994392
√709084.2021377401
√709184.2080756222
√709284.2140130857

Number properties

Is 7089 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√7089 is irrational because 7089 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 7089.