Masato Masato
  • 09-06-2024
  • Mathematics
High School

Which choice is equivalent to the expression below?

\[2\sqrt{2} + \sqrt{18} + \sqrt{8}\]

A. \(7\sqrt{2}\)
B. \(8\sqrt{2}\)
C. \(6\sqrt{2}\)
D. \(4\sqrt{2}\)

Answer :

  • 14-03-2024
[tex]2\sqrt2+\sqrt{18}+\sqrt8=2\sqrt2+\sqrt{9\cdot2}+\sqrt{4\cdot2}\\\\=2\sqrt2+\sqrt9\cdot\sqrt2+\sqrt4\cdot\sqrt2=2\sqrt2+3\sqrt2+2\sqrt2=7\sqrt2\\\\Answer:A.\ 7\sqrt2[/tex]
Answer Link
MathG33k MathG33k
  • 29-08-2024
[tex] \sqrt{18} = \sqrt{3*3*2} = 3\sqrt{2} \\ \sqrt{8} = \sqrt{2*2*2} =2 \sqrt{2}
\\ 2 \sqrt{2} + 3 \sqrt{2} + 2\sqrt{2} = 7 \sqrt{2} [/tex]
Answer Link

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