What is the Square Root of 732?

The square root of 732 is 27.0554985169. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√732 = 27.0554985169
CalculatedNon-perfect squareIrrational
Exact form√732
Perfect squareNo
Number typeIrrational
Verification27.05549851692 ≈ 732

On this page

How the answer is calculated

We solve x2 = 732. The resulting value is x = 27.0554985169.

Verification: 27.05549851692 ≈ 732.

Simplified radical form

The square root of 732 in simplified radical form is 2√183.

This is equivalent to √732, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal27729
Upper or equal28784

Nearby square roots

NumberSquare root
√72927
√73027.0185121722
√73127.0370116692
√73227.0554985169
√73327.0739727414
√73427.0924343683
√73527.1108834235

Number properties

Is 732 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√732 is irrational because 732 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 732.