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What is the Square Root of 7359?

The square root of 7359 is 85.7846140051. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√7359 = 85.7846140051
CalculatedNon-perfect squareIrrational
Exact form√7359
Perfect squareNo
Number typeIrrational
Verification85.78461400512 ≈ 7359

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How the answer is calculated

We solve x2 = 7359. The resulting value is x = 85.7846140051.

Verification: 85.78461400512 ≈ 7359.

Simplified radical form

The square root of 7359 in simplified radical form is √7359.

There are no square factors that can be taken outside the radical, so √7359 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal857225
Upper or equal867396

Nearby square roots

NumberSquare root
√735685.7671265696
√735785.7729561109
√735885.778785256
√735985.7846140051
√736085.7904423581
√736185.7962703152
√736285.8020978765

Number properties

Is 7359 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√7359 is irrational because 7359 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 7359.