What is the Square Root of 2708?

The square root of 2708 is 52.038447325. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√2708 = 52.038447325
CalculatedNon-perfect squareIrrational
Exact form√2708
Perfect squareNo
Number typeIrrational
Verification52.0384473252 ≈ 2708

On this page

How the answer is calculated

We solve x2 = 2708. The resulting value is x = 52.038447325.

Verification: 52.0384473252 ≈ 2708.

Simplified radical form

The square root of 2708 in simplified radical form is 2√677.

This is equivalent to √2708, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal522704
Upper or equal532809

Nearby square roots

NumberSquare root
√270552.0096144958
√270652.0192272146
√270752.0288381573
√270852.038447325
√270952.0480547187
√271052.0576603393
√271152.0672641878

Number properties

Is 2708 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√2708 is irrational because 2708 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 2708.