What is the Square Root of 682?

The square root of 682 is 26.1151297144. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√682 = 26.1151297144
CalculatedNon-perfect squareIrrational
Exact form√682
Perfect squareNo
Number typeIrrational
Verification26.11512971442 ≈ 682

On this page

How the answer is calculated

We solve x2 = 682. The resulting value is x = 26.1151297144.

Verification: 26.11512971442 ≈ 682.

Simplified radical form

The square root of 682 in simplified radical form is √682.

There are no square factors that can be taken outside the radical, so √682 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal26676
Upper or equal27729

Nearby square roots

NumberSquare root
√67926.0576284416
√68026.0768096208
√68126.0959767014
√68226.1151297144
√68326.1342686907
√68426.1533936612
√68526.1725046566

Number properties

Is 682 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√682 is irrational because 682 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 682.