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simplify (frac{10}{sqrt{32}})

simplify (frac{10}{sqrt{32}})
  • A.
    (frac{5}{4}sqrt{2})
  • B.
    (frac{4}{5}sqrt{2})
  • C.
    (frac{5}{16}sqrt{2})
  • D.
    (frac{16}{5}sqrt{2})
Correct Answer: Option A
Explanation

(frac{10}{sqrt{32}}=frac{10}{sqrt{16times 2}} = frac{10}{4sqrt{2}}\
frac{10times sqrt{2}}{4sqrt{2}timessqrt{2}}=frac{10sqrt{2}}{4times 2}= frac{5}{4}sqrt{2})

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