Question

6.32455532034 in simplest radical form

Answer 1

2√10

Explanation:

You want the simplest radical form of 6.32455532034.

Approximation

In order for the given decimal value to have a "simplest radical form," we must assume it is an approximation of an irrational root. The given rational number is approximately equal to √40, differing in the 12th decimal place and beyond.

6.32455532034 ≈ √40 = 2√10

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Additional comment

The radical is simplified by removing all of the perfect squares from under the radical.

40 = 2^3 × 5 = (2^2)(2×5) = (2^2)(10)

√40 = 2√10