What is the Square Root of 369?

The square root of 369 is 19.2093727123. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√369 = 19.2093727123
CalculatedNon-perfect squareIrrational
Exact form√369
Perfect squareNo
Number typeIrrational
Verification19.20937271232 ≈ 369

On this page

How the answer is calculated

We solve x2 = 369. The resulting value is x = 19.2093727123.

Verification: 19.20937271232 ≈ 369.

Simplified radical form

The square root of 369 in simplified radical form is 3√41.

This is equivalent to √369, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal19361
Upper or equal20400

Nearby square roots

NumberSquare root
√36619.1311264697
√36719.1572440607
√36819.1833260933
√36919.2093727123
√37019.2353840617
√37119.2613602843
√37219.287301522

Number properties

Is 369 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√369 is irrational because 369 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 369.