Question

Simplify the radical expression -√5q^3*3√35

Answer 1

$-\sqrt{5q^3} \cdot 3\sqrt{35}\\\\=-3\sqrt{5}\cdot \sqrt{q^3} \cdot \sqrt{5 \cdot 7}\\\\=-3\sqrt 5\cdot \sqrt{q \cdot q^2} \cdot \sqrt{5} \cdot \sqrt 7\\\\=-3\left(\sqrt 5 \right)^2 \cdot q\sqrt q \cdot \sqrt 7\\\\=-3\cdot 5 \cdot q\sqrt{7q}\\\\=-15q\sqrt{7q}$