What is the Square Root of 80?

The square root of 80 is 8.94427191. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√80 = 8.94427191
CalculatedNon-perfect squareIrrational
Exact form√80
Perfect squareNo
Number typeIrrational
Verification8.944271912 ≈ 80

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How the answer is calculated

We solve x2 = 80. The resulting value is x = 8.94427191.

Verification: 8.944271912 ≈ 80.

Simplified radical form

The square root of 80 in simplified radical form is 4√5.

This is equivalent to √80, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal864
Upper or equal981

Nearby square roots

NumberSquare root
√778.7749643874
√788.8317608663
√798.8881944173
√808.94427191
√819
√829.0553851381
√839.1104335791

Number properties

Is 80 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√80 is irrational because 80 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 80.