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What is the Square Root of 7271?

The square root of 7271 is 85.2701589069. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√7271 = 85.2701589069
CalculatedNon-perfect squareIrrational
Exact form√7271
Perfect squareNo
Number typeIrrational
Verification85.27015890692 ≈ 7271

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How the answer is calculated

We solve x2 = 7271. The resulting value is x = 85.2701589069.

Verification: 85.27015890692 ≈ 7271.

Simplified radical form

The square root of 7271 in simplified radical form is √7271.

There are no square factors that can be taken outside the radical, so √7271 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal857225
Upper or equal867396

Nearby square roots

NumberSquare root
√726885.2525659438
√726985.2584306682
√727085.2642949892
√727185.2701589069
√727285.2760224213
√727385.2818855326
√727485.2877482409

Number properties

Is 7271 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√7271 is irrational because 7271 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 7271.