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What is the Square Root of 723?

The square root of 723 is 26.8886593195. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√723 = 26.8886593195
CalculatedNon-perfect squareIrrational
Exact form√723
Perfect squareNo
Number typeIrrational
Verification26.88865931952 ≈ 723

On this page

How the answer is calculated

We solve x2 = 723. The resulting value is x = 26.8886593195.

Verification: 26.88865931952 ≈ 723.

Simplified radical form

The square root of 723 in simplified radical form is √723.

There are no square factors that can be taken outside the radical, so √723 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal26676
Upper or equal27729

Nearby square roots

NumberSquare root
√72026.83281573
√72126.8514431642
√72226.8700576851
√72326.8886593195
√72426.9072480941
√72526.9258240357
√72626.9443871706

Number properties

Is 723 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√723 is irrational because 723 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 723.