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What is the Square Root of 720?

The square root of 720 is 26.83281573. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√720 = 26.83281573
CalculatedNon-perfect squareIrrational
Exact form√720
Perfect squareNo
Number typeIrrational
Verification26.832815732 ≈ 720

On this page

How the answer is calculated

We solve x2 = 720. The resulting value is x = 26.83281573.

Verification: 26.832815732 ≈ 720.

Simplified radical form

The square root of 720 in simplified radical form is 12√5.

This is equivalent to √720, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal26676
Upper or equal27729

Nearby square roots

NumberSquare root
√71726.776855678
√71826.7955220139
√71926.8141753556
√72026.83281573
√72126.8514431642
√72226.8700576851
√72326.8886593195

Number properties

Is 720 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√720 is irrational because 720 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 720.