Question 596136
{{{4sqrt(5/6)-sqrt(3/10)}}} Find the LCD of the fractions, that's 30, and simplify:
{{{4sqrt(25/30)-sqrt(9/30)}}} Take the square root of both numerators.
{{{4*5sqrt(1/30)-3sqrt(1/30)}}} Simplify.
{{{20sqrt(1/30)-3sqrt(1/30)}}} Subtract.
{{{17sqrt(1/30)}}} Rationalise the denominator.
{{{17sqrt(1/30)(sqrt(30/30))}}} Simplify.
{{{17sqrt(30)/30}}}