Question

Which expression is equivalent to 3√50 × √22 ?

Please show work :)

A. 15√22
B. 30√22
C. 30√11
D. 15√11

Answer 1

`\longrightarrow{\green{C.\:30 √(11) }}` ✔

`\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}`

`3 √(50) * √(22) \\ \\ = 3 √(50 * 22) \\ \\ = 3 √(1100) \\ \\ = 3 √(2 * 2 * 5 * 5 * 11) \\ \\ = 3 \sqrt{ {2}^(2) * {5}^(2) * 11} \\ \\ = 3 * 2 * 5 √(11) \\\\ = 30 √(11)`

`\bold{ \green{ \star{ \orange{Mystique35}}}}⋆`