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What is the Square Root of 396?

The square root of 396 is 19.8997487421. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√396 = 19.8997487421
CalculatedNon-perfect squareIrrational
Exact form√396
Perfect squareNo
Number typeIrrational
Verification19.89974874212 ≈ 396

On this page

How the answer is calculated

We solve x2 = 396. The resulting value is x = 19.8997487421.

Verification: 19.89974874212 ≈ 396.

Simplified radical form

The square root of 396 in simplified radical form is 6√11.

This is equivalent to √396, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal19361
Upper or equal20400

Nearby square roots

NumberSquare root
√39319.8242276016
√39419.8494332413
√39519.8746069144
√39619.8997487421
√39719.9248588452
√39819.9499373433
√39919.9749843554

Number properties

Is 396 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√396 is irrational because 396 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 396.