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What is the Square Root of 689?

The square root of 689 is 26.2488094968. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√689 = 26.2488094968
CalculatedNon-perfect squareIrrational
Exact form√689
Perfect squareNo
Number typeIrrational
Verification26.24880949682 ≈ 689

On this page

How the answer is calculated

We solve x2 = 689. The resulting value is x = 26.2488094968.

Verification: 26.24880949682 ≈ 689.

Simplified radical form

The square root of 689 in simplified radical form is √689.

There are no square factors that can be taken outside the radical, so √689 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal26676
Upper or equal27729

Nearby square roots

NumberSquare root
√68626.1916017074
√68726.2106848442
√68826.2297540972
√68926.2488094968
√69026.2678510731
√69126.2868788562
√69226.3058928759

Number properties

Is 689 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√689 is irrational because 689 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 689.