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What is the Square Root of 797?

The square root of 797 is 28.231188427. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√797 = 28.231188427
CalculatedNon-perfect squareIrrational
Exact form√797
Perfect squareNo
Number typeIrrational
Verification28.2311884272 ≈ 797

On this page

How the answer is calculated

We solve x2 = 797. The resulting value is x = 28.231188427.

Verification: 28.2311884272 ≈ 797.

Simplified radical form

The square root of 797 in simplified radical form is √797.

There are no square factors that can be taken outside the radical, so √797 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal28784
Upper or equal29841

Nearby square roots

NumberSquare root
√79428.1780056072
√79528.1957443597
√79628.2134719593
√79728.231188427
√79828.2488937837
√79928.2665880502
√80028.2842712475

Number properties

Is 797 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√797 is irrational because 797 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 797.