What is the Square Root of 3468?

The square root of 3468 is 58.8897274573. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√3468 = 58.8897274573
CalculatedNon-perfect squareIrrational
Exact form√3468
Perfect squareNo
Number typeIrrational
Verification58.88972745732 ≈ 3468

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How the answer is calculated

We solve x2 = 3468. The resulting value is x = 58.8897274573.

Verification: 58.88972745732 ≈ 3468.

Simplified radical form

The square root of 3468 in simplified radical form is 34√3.

This is equivalent to √3468, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal583364
Upper or equal593481

Nearby square roots

NumberSquare root
√346558.864250611
√346658.8727441181
√346758.8812364001
√346858.8897274573
√346958.8982172905
√347058.9067059001
√347158.9151932866

Number properties

Is 3468 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√3468 is irrational because 3468 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 3468.