Question

simplify the radicals square root27 square root 80 square root 243

Answer 1

$Use\ \sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}\\\\\sqrt{27}=\sqrt{9\cdot3}=\sqrt9\cdot\sqrt3=\boxed{3\sqrt3}\\\\\sqrt{80}=\sqrt{16\cdot5}=\sqrt{16}\cdot\sqrt5=\boxed{4\sqrt5}\\\\\sqrt{243}=\sqrt{81\cdot3}=\sqrt{81}\cdot\sqrt3=\boxed{9\sqrt3}$