What is the Square Root of 796?

The square root of 796 is 28.2134719593. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√796 = 28.2134719593
CalculatedNon-perfect squareIrrational
Exact form√796
Perfect squareNo
Number typeIrrational
Verification28.21347195932 ≈ 796

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How the answer is calculated

We solve x2 = 796. The resulting value is x = 28.2134719593.

Verification: 28.21347195932 ≈ 796.

Simplified radical form

The square root of 796 in simplified radical form is 2√199.

This is equivalent to √796, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal28784
Upper or equal29841

Nearby square roots

NumberSquare root
√79328.1602556807
√79428.1780056072
√79528.1957443597
√79628.2134719593
√79728.231188427
√79828.2488937837
√79928.2665880502

Number properties

Is 796 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√796 is irrational because 796 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 796.