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Simplify (frac{sqrt{128}}{sqrt{32} – 2sqrt{2}})

Simplify (frac{sqrt{128}}{sqrt{32} – 2sqrt{2}})

  • A.
    (2sqrt{2})
  • B.
    (3sqrt{2})
  • C.
    3
  • D.
    4
Correct Answer: Option D
Explanation

(sqrt{128}  = sqrt{64times2} = 8sqrt{2})

(sqrt{32} = sqrt{16times2} = 4sqrt{2})

Simplifying, we have (frac{8sqrt{2}}{4sqrt{2} – 2sqrt{2}} = frac{8sqrt{2}}{2sqrt{2}})

= 4