To make calculation simpler, sum the values being subtracted: 13.829 + 7.302 + 1.214 = 22.345. Subtracting this from 58.621 produces 36.276.

Adding all the values while carrying over properly from the rightmost decimal places gives exactly 31.300.

Convert 64 into a power of 4. We know that 4 * 4 * 4 equals 64, making it 4^3. Setting the exponents equal, we determine that x = 3.

The target decimal is 2/5 = 0.4. Comparing absolute distances: |0.42 - 0.4| = 0.02, |0.40002 - 0.4| = 0.00002, and |0.400002 - 0.4| = 0.000002. Since 200001/500000 represents 0.400002, it presents the smallest deviation.

Separate x^3 into x^2 * x. Since x^2 is a perfect square, taking its square root gives x on the outside, leaving one x inside the radical: x*sqrt(x).

Use the multiplication property of radicals to combine them into one root: sqrt(2 * 8) = sqrt(16). The square root of 16 perfectly evaluates to 4.

The fractional power 1/3 translates to the cube root. The cube root of 64 is 4, since 4^3 (or 4 * 4 * 4) equals 64.

Raising to the 1/4 power means taking the fourth root. The number that multiplies by itself 4 times to equal 81 is 3 (3 * 3 * 3 * 3 = 81).

Because both terms have sqrt(3), they are like radicals. Simply subtract the coefficients: 5 - 2 = 3, maintaining the radical to get 3*sqrt(3).

Multiply both the top and the bottom by sqrt(5). This produces (5*sqrt(5)) / 5. Dividing by 5 leaves only the term sqrt(5).