What is the Square Root of 436?

The square root of 436 is 20.8806130178. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√436 = 20.8806130178
CalculatedNon-perfect squareIrrational
Exact form√436
Perfect squareNo
Number typeIrrational
Verification20.88061301782 ≈ 436

On this page

How the answer is calculated

We solve x2 = 436. The resulting value is x = 20.8806130178.

Verification: 20.88061301782 ≈ 436.

Simplified radical form

The square root of 436 in simplified radical form is 2√109.

This is equivalent to √436, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal20400
Upper or equal21441

Nearby square roots

NumberSquare root
√43320.8086520467
√43420.832666656
√43520.8566536146
√43620.8806130178
√43720.9045449604
√43820.9284495365
√43920.9523268398

Number properties

Is 436 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√436 is irrational because 436 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 436.