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What is the Square Root of 8267?

The square root of 8267 is 90.9230443837. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√8267 = 90.9230443837
CalculatedNon-perfect squareIrrational
Exact form√8267
Perfect squareNo
Number typeIrrational
Verification90.92304438372 ≈ 8267

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How the answer is calculated

We solve x2 = 8267. The resulting value is x = 90.9230443837.

Verification: 90.92304438372 ≈ 8267.

Simplified radical form

The square root of 8267 in simplified radical form is √8267.

There are no square factors that can be taken outside the radical, so √8267 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal908100
Upper or equal918281

Nearby square roots

NumberSquare root
√826490.9065454189
√826590.9120454065
√826690.9175450614
√826790.9230443837
√826890.9285433734
√826990.9340420305
√827090.9395403551

Number properties

Is 8267 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√8267 is irrational because 8267 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 8267.