What is the Square Root of 365?

The square root of 365 is 19.1049731745. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√365 = 19.1049731745
CalculatedNon-perfect squareIrrational
Exact form√365
Perfect squareNo
Number typeIrrational
Verification19.10497317452 ≈ 365

On this page

How the answer is calculated

We solve x2 = 365. The resulting value is x = 19.1049731745.

Verification: 19.10497317452 ≈ 365.

Simplified radical form

The square root of 365 in simplified radical form is √365.

There are no square factors that can be taken outside the radical, so √365 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal19361
Upper or equal20400

Nearby square roots

NumberSquare root
√36219.0262975904
√36319.0525588833
√36419.0787840283
√36519.1049731745
√36619.1311264697
√36719.1572440607
√36819.1833260933

Number properties

Is 365 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√365 is irrational because 365 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 365.