What is the Square Root of 388?

The square root of 388 is 19.6977156036. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√388 = 19.6977156036
CalculatedNon-perfect squareIrrational
Exact form√388
Perfect squareNo
Number typeIrrational
Verification19.69771560362 ≈ 388

On this page

How the answer is calculated

We solve x2 = 388. The resulting value is x = 19.6977156036.

Verification: 19.69771560362 ≈ 388.

Simplified radical form

The square root of 388 in simplified radical form is 2√97.

This is equivalent to √388, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal19361
Upper or equal20400

Nearby square roots

NumberSquare root
√38519.6214168703
√38619.6468827044
√38719.6723155729
√38819.6977156036
√38919.7230829233
√39019.7484176581
√39119.7737199333

Number properties

Is 388 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√388 is irrational because 388 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 388.