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What is the Square Root of 3440?

The square root of 3440 is 58.6515131945. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√3440 = 58.6515131945
CalculatedNon-perfect squareIrrational
Exact form√3440
Perfect squareNo
Number typeIrrational
Verification58.65151319452 ≈ 3440

On this page

How the answer is calculated

We solve x2 = 3440. The resulting value is x = 58.6515131945.

Verification: 58.65151319452 ≈ 3440.

Simplified radical form

The square root of 3440 in simplified radical form is 4√215.

This is equivalent to √3440, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal583364
Upper or equal593481

Nearby square roots

NumberSquare root
√343758.6259328284
√343858.6344608571
√343958.6429876456
√344058.6515131945
√344158.6600375042
√344258.6685605755
√344358.6770824087

Number properties

Is 3440 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√3440 is irrational because 3440 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 3440.