2a Rearrange for ν.

2a • Remember that taking the nth root of something is the same as raising it to the power 1/n:

2a • Remember that taking the nth root of something is the same as raising it to the power 1/n:

2a • Remember that taking the nth root of something is the same as raising it to the power 1/n:

• Raise both sides to the power 4:

2a • Remember that taking the nth root of something is the same as raising it to the power 1/n:

• Raise both sides to the power 4:

2a • Remember that taking the nth root of something is the same as raising it to the power 1/n:

• Raise both sides to the power 4:

• Multiply both sides by ϵ:

2a • Remember that taking the nth root of something is the same as raising it to the power 1/n:

• Raise both sides to the power 4:

• Multiply both sides by ϵ:

2a • Remember that taking the nth root of something is the same as raising it to the power 1/n:

• Raise both sides to the power 4:

• Multiply both sides by ϵ:

• Take the cube root of both sides:

2a • Remember that taking the nth root of something is the same as raising it to the power 1/n:

• Raise both sides to the power 4:

• Multiply both sides by ϵ:

• Take the cube root of both sides:

2b By replacing the components of the original equation with their units, verify that the unit of the Kolmogorov length scale is metres.

2b • Replace all elements of the original equation with their units:

2b • Replace all elements of the original equation with their units:

2b • Replace all elements of the original equation with their units:

• Multiply out the top of the fraction:

2b • Replace all elements of the original equation with their units:

• Multiply out the top of the fraction:

2b • Replace all elements of the original equation with their units:

• Multiply out the top of the fraction:

• Combine and cancel like units and simplify:

2b • Replace all elements of the original equation with their units:

• Multiply out the top of the fraction:

• Combine and cancel like units and simplify: