What is the Square Root of 3452?

The square root of 3452 is 58.7537232863. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√3452 = 58.7537232863
CalculatedNon-perfect squareIrrational
Exact form√3452
Perfect squareNo
Number typeIrrational
Verification58.75372328632 ≈ 3452

On this page

How the answer is calculated

We solve x2 = 3452. The resulting value is x = 58.7537232863.

Verification: 58.75372328632 ≈ 3452.

Simplified radical form

The square root of 3452 in simplified radical form is 2√863.

This is equivalent to √3452, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal583364
Upper or equal593481

Nearby square roots

NumberSquare root
√344958.7281874401
√345058.7367006224
√345158.7452125709
√345258.7537232863
√345358.762232769
√345458.7707410197
√345558.7792480387

Number properties

Is 3452 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√3452 is irrational because 3452 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 3452.