What is the Square Root of 550?

The square root of 550 is 23.4520787991. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√550 = 23.4520787991
CalculatedNon-perfect squareIrrational
Exact form√550
Perfect squareNo
Number typeIrrational
Verification23.45207879912 ≈ 550

On this page

How the answer is calculated

We solve x2 = 550. The resulting value is x = 23.4520787991.

Verification: 23.45207879912 ≈ 550.

Simplified radical form

The square root of 550 in simplified radical form is 5√22.

This is equivalent to √550, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal23529
Upper or equal24576

Nearby square roots

NumberSquare root
√54723.3880311271
√54823.4093998214
√54923.4307490277
√55023.4520787991
√55123.4733891886
√55223.4946802489
√55323.5159520326

Number properties

Is 550 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√550 is irrational because 550 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 550.