Step 1: Write the division as a fraction. $$ \sqrt{15} \div \sqrt{2} = \frac{\sqrt{15}}{\sqrt{2}} $$ Step 2: Rationalize the denominator by multiplying the numerator and denominator by $\sqrt{2}$. $$ \frac{\sqrt{15}}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} $$ Step 3: Multiply the numerators and the denominators. $$ \frac{\sqrt{15 \times 2}}{\sqrt{2 \times 2}} = \frac{\sqrt{30}}{\sqrt{4}} $$ Step 4: Simplify the denominator. $$ \frac{\sqrt{30}}{2} $$ The simplified expression is: $$ \boxed{\frac{\sqrt{30}}{2}} $$ Send me the next one 📸