What is the Square Root of 7367?

The square root of 7367 is 85.8312297477. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√7367 = 85.8312297477
CalculatedNon-perfect squareIrrational
Exact form√7367
Perfect squareNo
Number typeIrrational
Verification85.83122974772 ≈ 7367

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How the answer is calculated

We solve x2 = 7367. The resulting value is x = 85.8312297477.

Verification: 85.83122974772 ≈ 7367.

Simplified radical form

The square root of 7367 in simplified radical form is √7367.

There are no square factors that can be taken outside the radical, so √7367 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal857225
Upper or equal867396

Nearby square roots

NumberSquare root
√736485.8137518117
√736585.8195781859
√736685.8254041645
√736785.8312297477
√736885.8370549355
√736985.842879728
√737085.8487041253

Number properties

Is 7367 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√7367 is irrational because 7367 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 7367.