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What is the Square Root of 9509?

The square root of 9509 is 97.5141015443. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√9509 = 97.5141015443
CalculatedNon-perfect squareIrrational
Exact form√9509
Perfect squareNo
Number typeIrrational
Verification97.51410154432 ≈ 9509

On this page

How the answer is calculated

We solve x2 = 9509. The resulting value is x = 97.5141015443.

Verification: 97.51410154432 ≈ 9509.

Simplified radical form

The square root of 9509 in simplified radical form is √9509.

There are no square factors that can be taken outside the radical, so √9509 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal979409
Upper or equal989604

Nearby square roots

NumberSquare root
√950697.4987179403
√950797.503846078
√950897.508973946
√950997.5141015443
√951097.5192288731
√951197.5243559322
√951297.5294827219

Number properties

Is 9509 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√9509 is irrational because 9509 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 9509.