Home » Simplify (frac{4sqrt{18}}{sqrt{8}})

Simplify (frac{4sqrt{18}}{sqrt{8}})

Simplify (frac{4sqrt{18}}{sqrt{8}})
  • A.
    2
  • B.
    3
  • C.
    6
  • D.
    12
Correct Answer: Option C
Explanation

(frac{4sqrt{18}}{sqrt{8}}\
= frac{4sqrt{9times 2}}{sqrt{4 times 2}} = frac{12sqrt{2}}{2sqrt{2}}=frac{6sqrt{2}}{sqrt{2}}\
Rationalising frac{6sqrt{2}}{sqrt{2}}\
=frac{6sqrt{2}}{sqrt{2}} times frac{sqrt{2}}{sqrt{2}} = 6)