Simplify (frac{20}{5sqrt{28} – 2 sqrt{63}})

Simplify (frac{20}{5sqrt{28} – 2 sqrt{63}})
  • A.
    (frac{5sqrt{7}}{7})
  • B.
    (frac{5sqrt{5}}{7})
  • C.
    (frac{7sqrt{5}}{7})
  • D.
    (frac{7sqrt{7}}{5})
Correct Answer: Option A
Explanation

(frac{20}{5 sqrt{4 times 7} – 2sqrt{9 times 7}})
(frac{20}{10 sqrt{7} – 6sqrt{7}})
= (frac{20 sqrt{7}}{4 sqrt{7}})
= (frac{5sqrt{7}}{7})

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