What is the Square Root of 746?

The square root of 746 is 27.3130005675. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√746 = 27.3130005675
CalculatedNon-perfect squareIrrational
Exact form√746
Perfect squareNo
Number typeIrrational
Verification27.31300056752 ≈ 746

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How the answer is calculated

We solve x2 = 746. The resulting value is x = 27.3130005675.

Verification: 27.31300056752 ≈ 746.

Simplified radical form

The square root of 746 in simplified radical form is √746.

There are no square factors that can be taken outside the radical, so √746 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal27729
Upper or equal28784

Nearby square roots

NumberSquare root
√74327.2580263409
√74427.276363394
√74527.2946881279
√74627.3130005675
√74727.3313007374
√74827.3495886624
√74927.3678643668

Number properties

Is 746 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√746 is irrational because 746 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 746.