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What is the Square Root of 353?

The square root of 353 is 18.7882942281. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√353 = 18.7882942281
CalculatedNon-perfect squareIrrational
Exact form√353
Perfect squareNo
Number typeIrrational
Verification18.78829422812 ≈ 353

On this page

How the answer is calculated

We solve x2 = 353. The resulting value is x = 18.7882942281.

Verification: 18.78829422812 ≈ 353.

Simplified radical form

The square root of 353 in simplified radical form is √353.

There are no square factors that can be taken outside the radical, so √353 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal18324
Upper or equal19361

Nearby square roots

NumberSquare root
√35018.7082869339
√35118.7349939952
√35218.7616630393
√35318.7882942281
√35418.8148877222
√35518.8414436814
√35618.8679622641

Number properties

Is 353 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√353 is irrational because 353 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 353.