What is the Square Root of 347?

The square root of 347 is 18.6279360102. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√347 = 18.6279360102
CalculatedNon-perfect squareIrrational
Exact form√347
Perfect squareNo
Number typeIrrational
Verification18.62793601022 ≈ 347

On this page

How the answer is calculated

We solve x2 = 347. The resulting value is x = 18.6279360102.

Verification: 18.62793601022 ≈ 347.

Simplified radical form

The square root of 347 in simplified radical form is √347.

There are no square factors that can be taken outside the radical, so √347 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal18324
Upper or equal19361

Nearby square roots

NumberSquare root
√34418.547236991
√34518.574175621
√34618.6010752377
√34718.6279360102
√34818.6547581062
√34918.6815416923
√35018.7082869339

Number properties

Is 347 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√347 is irrational because 347 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 347.