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What is the Square Root of 709?

The square root of 709 is 26.6270539114. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√709 = 26.6270539114
CalculatedNon-perfect squareIrrational
Exact form√709
Perfect squareNo
Number typeIrrational
Verification26.62705391142 ≈ 709

On this page

How the answer is calculated

We solve x2 = 709. The resulting value is x = 26.6270539114.

Verification: 26.62705391142 ≈ 709.

Simplified radical form

The square root of 709 in simplified radical form is √709.

There are no square factors that can be taken outside the radical, so √709 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal26676
Upper or equal27729

Nearby square roots

NumberSquare root
√70626.5706605112
√70726.5894716006
√70826.6082693913
√70926.6270539114
√71026.6458251889
√71126.6645832519
√71226.6833281283

Number properties

Is 709 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√709 is irrational because 709 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 709.