Question

e) 5 sqrt 2 .2 sqrt 6 =

Answer 1

$\boxed{\begin{array}{l}\rm5\sqrt{2}\cdot2\sqrt{6}=5\cdot2\cdot\sqrt{2\cdot6}\\\rm5\sqrt{2}\cdot2\sqrt{6}=10\sqrt{12}\\\rm5\sqrt{2}\cdot2\sqrt{6}=10\sqrt{4\cdot3}\\\rm5\sqrt{2}\cdot2\sqrt{6}=10\cdot2\sqrt{3}\\\rm5\sqrt{2}\cdot2\sqrt{6}=20\sqrt{3}\checkmark\end{array}}$

Answer 2

$\large\boxed{\begin{array}{l} 5 \sqrt{2} \: . \: 2 \sqrt{6} = 5 \: . \: 2 \: . \: \sqrt{2 \: . \: 6} \\ 5 \sqrt{2} \: . \: 2 \sqrt{6} = 10 \sqrt{12} \\ 5 \sqrt{2} \: . \: 2 \sqrt{6} = 10 \sqrt{4 \: . \: 3} \\ 5 \sqrt{2} \: . \: 2 \sqrt{6} =10\:.\: 2\sqrt{3}\\ 5 \sqrt{2} \: . \: 2 \sqrt{6} = \: \red{\therefore \: 20 \sqrt{3} }\end{array}}$