What is the Square Root of 8425?

The square root of 8425 is 91.7877987534. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√8425 = 91.7877987534
CalculatedNon-perfect squareIrrational
Exact form√8425
Perfect squareNo
Number typeIrrational
Verification91.78779875342 ≈ 8425

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How the answer is calculated

We solve x2 = 8425. The resulting value is x = 91.7877987534.

Verification: 91.78779875342 ≈ 8425.

Simplified radical form

The square root of 8425 in simplified radical form is 5√337.

This is equivalent to √8425, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal918281
Upper or equal928464

Nearby square roots

NumberSquare root
√842291.7714552571
√842391.7769034126
√842491.7823512447
√842591.7877987534
√842691.7932459389
√842791.7986928012
√842891.8041393402

Number properties

Is 8425 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√8425 is irrational because 8425 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 8425.