If (frac{5}{sqrt{2}} – frac{sqrt{8}}{8} = msqrt{2}), where m is a constant. Find m.
-
A.
(1frac{1}{2}) -
B.
(1frac{1}{4}) -
C.
(2frac{1}{4}) -
D.
(2frac{1}{2})
Correct Answer: Option C
Explanation
(frac{5}{sqrt{2}} = frac{5 times sqrt{2}}{sqrt{2} times sqrt{2}} = frac{5sqrt{2}}{2})
(frac{sqrt{8}}{8} = frac{2sqrt{2}}{8} = frac{sqrt{2}}{4})
(frac{5}{sqrt{2}} – frac{sqrt{8}}{8} = (frac{5}{2} – frac{1}{4})sqrt{2})
= (frac{9}{4}sqrt{2} )
= (2frac{1}{4}sqrt{2})