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What is the Square Root of 687?

The square root of 687 is 26.2106848442. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√687 = 26.2106848442
CalculatedNon-perfect squareIrrational
Exact form√687
Perfect squareNo
Number typeIrrational
Verification26.21068484422 ≈ 687

On this page

How the answer is calculated

We solve x2 = 687. The resulting value is x = 26.2106848442.

Verification: 26.21068484422 ≈ 687.

Simplified radical form

The square root of 687 in simplified radical form is √687.

There are no square factors that can be taken outside the radical, so √687 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal26676
Upper or equal27729

Nearby square roots

NumberSquare root
√68426.1533936612
√68526.1725046566
√68626.1916017074
√68726.2106848442
√68826.2297540972
√68926.2488094968
√69026.2678510731

Number properties

Is 687 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√687 is irrational because 687 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 687.