What is the Square Root of 380?

The square root of 380 is 19.4935886896. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√380 = 19.4935886896
CalculatedNon-perfect squareIrrational
Exact form√380
Perfect squareNo
Number typeIrrational
Verification19.49358868962 ≈ 380

On this page

How the answer is calculated

We solve x2 = 380. The resulting value is x = 19.4935886896.

Verification: 19.49358868962 ≈ 380.

Simplified radical form

The square root of 380 in simplified radical form is 2√95.

This is equivalent to √380, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal19361
Upper or equal20400

Nearby square roots

NumberSquare root
√37719.4164878389
√37819.4422220952
√37919.4679223339
√38019.4935886896
√38119.5192212959
√38219.5448202857
√38319.5703857908

Number properties

Is 380 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√380 is irrational because 380 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 380.