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What is the Square Root of 708?

The square root of 708 is 26.6082693913. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√708 = 26.6082693913
CalculatedNon-perfect squareIrrational
Exact form√708
Perfect squareNo
Number typeIrrational
Verification26.60826939132 ≈ 708

On this page

How the answer is calculated

We solve x2 = 708. The resulting value is x = 26.6082693913.

Verification: 26.60826939132 ≈ 708.

Simplified radical form

The square root of 708 in simplified radical form is 2√177.

This is equivalent to √708, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal26676
Upper or equal27729

Nearby square roots

NumberSquare root
√70526.5518360947
√70626.5706605112
√70726.5894716006
√70826.6082693913
√70926.6270539114
√71026.6458251889
√71126.6645832519

Number properties

Is 708 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√708 is irrational because 708 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 708.