frac1sqrt20rangle

frac1sqrt20rangle is a mathematical expression that represents a fraction. The numerator is 1, and the denominator is the square root of 20. This expression can be simplified. The square root of 20 can be rewritten as the square root of (4 * 5), which is equal to the square root of 4 multiplied by the square root of 5, resulting in 2 * sqrt(5). Therefore, the expression becomes 1 / (2 * sqrt(5)).

To further simplify and rationalize the denominator, one can multiply both the numerator and the denominator by sqrt(5). This yields (1 * sqrt(5)) / (2 * sqrt(5) * sqrt(5)), which simplifies to sqrt(5) / (2 * 5), or sqrt(5) / 10. This is the rationalized form of the original expression.

The value of frac1sqrt20rangle is approximately 0.2236. This type of expression appears in various areas of mathematics, including algebra and geometry, particularly when dealing with lengths, ratios, or geometric transformations where square roots are involved. Its simplification is a common exercise in manipulating radicals.