What is the Square Root of 741?

The square root of 741 is 27.2213151776. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√741 = 27.2213151776
CalculatedNon-perfect squareIrrational
Exact form√741
Perfect squareNo
Number typeIrrational
Verification27.22131517762 ≈ 741

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How the answer is calculated

We solve x2 = 741. The resulting value is x = 27.2213151776.

Verification: 27.22131517762 ≈ 741.

Simplified radical form

The square root of 741 in simplified radical form is √741.

There are no square factors that can be taken outside the radical, so √741 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal27729
Upper or equal28784

Nearby square roots

NumberSquare root
√73827.1661554144
√73927.1845544381
√74027.2029410175
√74127.2213151776
√74227.2396769438
√74327.2580263409
√74427.276363394

Number properties

Is 741 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√741 is irrational because 741 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 741.