Home » Simplify without using tables (frac{2sqrt{14} times 3sqrt{21}}{7sqrt{24} times 2sqrt{98}})

Simplify without using tables (frac{2sqrt{14} times 3sqrt{21}}{7sqrt{24} times 2sqrt{98}})

Simplify without using tables (frac{2sqrt{14} times 3sqrt{21}}{7sqrt{24} times 2sqrt{98}})
  • A.
    frac{3sqrt{14}}{4})
  • B.
    (frac{3sqrt{2}}{4})
  • C.
    (frac{3sqrt{14}}{28})
  • D.
    (frac{3sqrt{2}}{28})
Correct Answer: Option D
Explanation

(frac{2sqrt{14} times 3sqrt{21}}{7 sqrt{24} times 2sqrt{98}}) = (frac{6sqrt{14} times 3 times sqrt{7} times sqrt{3}}{7 times 2 sqrt{6} times sqrt{7} times sqrt{14}})
= (frac{3sqrt{3}}{14sqrt{6}})
= (frac{3sqrt{3}}{14sqrt{2} times sqrt{3}})
= (frac{sqrt{3}}{sqrt{2}}) x (frac{sqrt{2}}{sqrt{2}})
= (frac{3sqrt{2}}{28})