Question

Simplify: √5 x √12 x √50
a: 10√10
b: 7√30
c:10√30
d: 7√10

Answer 1

$\sqrt{5} \times \sqrt{12} \: \: \times \sqrt{50} \\ \sqrt{5} \times \sqrt{4 \times 3} \times \sqrt{25 \times 2} = \\ \sqrt{5} \times 2 \sqrt{3} \times 5 \sqrt{2} = \\ 10 \sqrt{3 \times 5 \times 2} = 10 \sqrt{30}$