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What is the Square Root of 688?

The square root of 688 is 26.2297540972. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√688 = 26.2297540972
CalculatedNon-perfect squareIrrational
Exact form√688
Perfect squareNo
Number typeIrrational
Verification26.22975409722 ≈ 688

On this page

How the answer is calculated

We solve x2 = 688. The resulting value is x = 26.2297540972.

Verification: 26.22975409722 ≈ 688.

Simplified radical form

The square root of 688 in simplified radical form is 4√43.

This is equivalent to √688, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal26676
Upper or equal27729

Nearby square roots

NumberSquare root
√68526.1725046566
√68626.1916017074
√68726.2106848442
√68826.2297540972
√68926.2488094968
√69026.2678510731
√69126.2868788562

Number properties

Is 688 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√688 is irrational because 688 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 688.