What is the Square Root of 7389?

The square root of 7389 is 85.9592926914. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√7389 = 85.9592926914
CalculatedNon-perfect squareIrrational
Exact form√7389
Perfect squareNo
Number typeIrrational
Verification85.95929269142 ≈ 7389

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How the answer is calculated

We solve x2 = 7389. The resulting value is x = 85.9592926914.

Verification: 85.95929269142 ≈ 7389.

Simplified radical form

The square root of 7389 in simplified radical form is 3√821.

This is equivalent to √7389, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal857225
Upper or equal867396

Nearby square roots

NumberSquare root
√738685.9418407995
√738785.9476584905
√738885.9534757878
√738985.9592926914
√739085.9651092013
√739185.9709253178
√739285.9767410408

Number properties

Is 7389 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√7389 is irrational because 7389 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 7389.