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What is the Square Root of 8513?

The square root of 8513 is 92.2659200355. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√8513 = 92.2659200355
CalculatedNon-perfect squareIrrational
Exact form√8513
Perfect squareNo
Number typeIrrational
Verification92.26592003552 ≈ 8513

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How the answer is calculated

We solve x2 = 8513. The resulting value is x = 92.2659200355.

Verification: 92.26592003552 ≈ 8513.

Simplified radical form

The square root of 8513 in simplified radical form is √8513.

There are no square factors that can be taken outside the radical, so √8513 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal928464
Upper or equal938649

Nearby square roots

NumberSquare root
√851092.249661246
√851192.2550811609
√851292.2605007574
√851392.2659200355
√851492.2713389954
√851592.276757637
√851692.2821759605

Number properties

Is 8513 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√8513 is irrational because 8513 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 8513.