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What is the Square Root of 728?

The square root of 728 is 26.9814751265. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√728 = 26.9814751265
CalculatedNon-perfect squareIrrational
Exact form√728
Perfect squareNo
Number typeIrrational
Verification26.98147512652 ≈ 728

On this page

How the answer is calculated

We solve x2 = 728. The resulting value is x = 26.9814751265.

Verification: 26.98147512652 ≈ 728.

Simplified radical form

The square root of 728 in simplified radical form is 2√182.

This is equivalent to √728, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal26676
Upper or equal27729

Nearby square roots

NumberSquare root
√72526.9258240357
√72626.9443871706
√72726.9629375254
√72826.9814751265
√72927
√73027.0185121722
√73127.0370116692

Number properties

Is 728 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√728 is irrational because 728 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 728.