Infolity
  1. Home
  2. Calculators
  3. Square Root

What is the Square Root of 3400?

The square root of 3400 is 58.3095189485. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√3400 = 58.3095189485
CalculatedNon-perfect squareIrrational
Exact form√3400
Perfect squareNo
Number typeIrrational
Verification58.30951894852 ≈ 3400

On this page

How the answer is calculated

We solve x2 = 3400. The resulting value is x = 58.3095189485.

Verification: 58.30951894852 ≈ 3400.

Simplified radical form

The square root of 3400 in simplified radical form is 10√34.

This is equivalent to √3400, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal583364
Upper or equal593481

Nearby square roots

NumberSquare root
√339758.2837884836
√339858.2923665672
√339958.3009433886
√340058.3095189485
√340158.3180932473
√340258.3266662857
√340358.3352380641

Number properties

Is 3400 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√3400 is irrational because 3400 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 3400.