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What is the Square Root of 8424?

The square root of 8424 is 91.7823512447. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√8424 = 91.7823512447
CalculatedNon-perfect squareIrrational
Exact form√8424
Perfect squareNo
Number typeIrrational
Verification91.78235124472 ≈ 8424

On this page

How the answer is calculated

We solve x2 = 8424. The resulting value is x = 91.7823512447.

Verification: 91.78235124472 ≈ 8424.

Simplified radical form

The square root of 8424 in simplified radical form is 18√26.

This is equivalent to √8424, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal918281
Upper or equal928464

Nearby square roots

NumberSquare root
√842191.7660067781
√842291.7714552571
√842391.7769034126
√842491.7823512447
√842591.7877987534
√842691.7932459389
√842791.7986928012

Number properties

Is 8424 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√8424 is irrational because 8424 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 8424.