Answer
$3\sqrt5-\sqrt10$
Work Step by Step
$\frac{7\sqrt5}{3+\sqrt2}\longrightarrow$ multiply numerator and denominator by the conjugate of the denominator
=$\frac{7\sqrt5}{3+\sqrt2}\times\frac{3-\sqrt2}{3-\sqrt2}\longrightarrow$ multiply
=$\frac{7\sqrt5(3-\sqrt2)}{9-2}\longrightarrow$ use the distributive property
=$\frac{21\sqrt5-7\sqrt{10}}{7}\longrightarrow$ divide by 7
=$3\sqrt5-\sqrt10$
