What is the Square Root of 738?

The square root of 738 is 27.1661554144. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√738 = 27.1661554144
CalculatedNon-perfect squareIrrational
Exact form√738
Perfect squareNo
Number typeIrrational
Verification27.16615541442 ≈ 738

On this page

How the answer is calculated

We solve x2 = 738. The resulting value is x = 27.1661554144.

Verification: 27.16615541442 ≈ 738.

Simplified radical form

The square root of 738 in simplified radical form is 3√82.

This is equivalent to √738, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal27729
Upper or equal28784

Nearby square roots

NumberSquare root
√73527.1108834235
√73627.1293199325
√73727.147743921
√73827.1661554144
√73927.1845544381
√74027.2029410175
√74127.2213151776

Number properties

Is 738 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√738 is irrational because 738 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 738.