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What is the Square Root of 3478?

The square root of 3478 is 58.9745707911. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√3478 = 58.9745707911
CalculatedNon-perfect squareIrrational
Exact form√3478
Perfect squareNo
Number typeIrrational
Verification58.97457079112 ≈ 3478

On this page

How the answer is calculated

We solve x2 = 3478. The resulting value is x = 58.9745707911.

Verification: 58.97457079112 ≈ 3478.

Simplified radical form

The square root of 3478 in simplified radical form is √3478.

There are no square factors that can be taken outside the radical, so √3478 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal583364
Upper or equal593481

Nearby square roots

NumberSquare root
√347558.9491306128
√347658.9576118919
√347758.9660919512
√347858.9745707911
√347958.9830484122
√348058.991524815
√348159

Number properties

Is 3478 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√3478 is irrational because 3478 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 3478.