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What is the Square Root of 7267?

The square root of 7267 is 85.2467008159. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√7267 = 85.2467008159
CalculatedNon-perfect squareIrrational
Exact form√7267
Perfect squareNo
Number typeIrrational
Verification85.24670081592 ≈ 7267

On this page

How the answer is calculated

We solve x2 = 7267. The resulting value is x = 85.2467008159.

Verification: 85.24670081592 ≈ 7267.

Simplified radical form

The square root of 7267 in simplified radical form is 13√43.

This is equivalent to √7267, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal857225
Upper or equal867396

Nearby square roots

NumberSquare root
√726485.2291030107
√726585.2349693494
√726685.2408352845
√726785.2467008159
√726885.2525659438
√726985.2584306682
√727085.2642949892

Number properties

Is 7267 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√7267 is irrational because 7267 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 7267.