Home » Mathematics » Simplify; (frac{3sqrt{5} times 4sqrt{6}}{2 sqrt{2} times 3sqrt{2}})

Simplify; (frac{3sqrt{5} times 4sqrt{6}}{2 sqrt{2} times 3sqrt{2}})

Simplify; (frac{3sqrt{5} times 4sqrt{6}}{2 sqrt{2} times 3sqrt{2}})
  • A.
    (sqrt{2})
  • B.
    (sqrt{5})
  • C.
    2(sqrt{2})
  • D.
    2(sqrt{5})
Correct Answer: Option D
Explanation

(frac{3sqrt{5} times 4sqrt{6}}{2 sqrt{2} times 3sqrt{2}})
= (frac{sqrt{5} times 2sqrt{6}}{sqrt{2} times sqrt{3}})
= (frac{sqrt{5} times 2 sqrt{6}}{sqrt{6}})
= 2(sqrt{5})