juliemarieja3 juliemarieja3
  • 08-06-2021
  • Mathematics
contestada

Which expression is equivalent to 3√50 × √22 ?
Please show work :)

A. 15√22
B. 30√22
C. 30√11
D. 15√11

Respuesta :

Аноним Аноним
  • 08-06-2021

[tex]\longrightarrow{\green{C.\:30 \sqrt{11} }}[/tex] ✔

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]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} [/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

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