What is the Square Root of 704?

The square root of 704 is 26.5329983228. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√704 = 26.5329983228
CalculatedNon-perfect squareIrrational
Exact form√704
Perfect squareNo
Number typeIrrational
Verification26.53299832282 ≈ 704

On this page

How the answer is calculated

We solve x2 = 704. The resulting value is x = 26.5329983228.

Verification: 26.53299832282 ≈ 704.

Simplified radical form

The square root of 704 in simplified radical form is 8√11.

This is equivalent to √704, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal26676
Upper or equal27729

Nearby square roots

NumberSquare root
√70126.4764045897
√70226.495282599
√70326.5141471671
√70426.5329983228
√70526.5518360947
√70626.5706605112
√70726.5894716006

Number properties

Is 704 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√704 is irrational because 704 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 704.