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What is the Square Root of 8253?

The square root of 8253 is 90.8460235784. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√8253 = 90.8460235784
CalculatedNon-perfect squareIrrational
Exact form√8253
Perfect squareNo
Number typeIrrational
Verification90.84602357842 ≈ 8253

On this page

How the answer is calculated

We solve x2 = 8253. The resulting value is x = 90.8460235784.

Verification: 90.84602357842 ≈ 8253.

Simplified radical form

The square root of 8253 in simplified radical form is 3√917.

This is equivalent to √8253, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal908100
Upper or equal918281

Nearby square roots

NumberSquare root
√825090.8295106229
√825190.8350152749
√825290.8405195934
√825390.8460235784
√825490.8515272299
√825590.857030548
√825690.8625335328

Number properties

Is 8253 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√8253 is irrational because 8253 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 8253.