Question

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

Answer 1

$\longrightarrow{\green{C.\:30 \sqrt{11} }}$ ✔

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

$3 \sqrt{50} \times \sqrt{22} \\ \\ = 3 \sqrt{50 \times 22} \\ \\ = 3 \sqrt{1100} \\ \\ = 3 \sqrt{2 \times 2 \times 5 \times 5 \times 11} \\ \\ = 3 \sqrt{ {2}^{2} \times {5}^{2} \times 11} \\ \\ = 3 \times 2 \times 5 \sqrt{11} \\\\ = 30 \sqrt{11}$

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