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What is the Square Root of 8521?

The square root of 8521 is 92.3092628072. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√8521 = 92.3092628072
CalculatedNon-perfect squareIrrational
Exact form√8521
Perfect squareNo
Number typeIrrational
Verification92.30926280722 ≈ 8521

On this page

How the answer is calculated

We solve x2 = 8521. The resulting value is x = 92.3092628072.

Verification: 92.30926280722 ≈ 8521.

Simplified radical form

The square root of 8521 in simplified radical form is √8521.

There are no square factors that can be taken outside the radical, so √8521 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal928464
Upper or equal938649

Nearby square roots

NumberSquare root
√851892.2930116531
√851992.2984290224
√852092.3038460737
√852192.3092628072
√852292.3146792228
√852392.3200953206
√852492.3255111007

Number properties

Is 8521 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√8521 is irrational because 8521 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 8521.