If (sqrt{72} + sqrt{32} – 3 sqrt{18} = x sqrt{8}), Find the value of x
-
A.
1 -
B.
(frac{3}{4}) -
C.
(frac{1}{2}) -
D.
(frac{1}{4})
Correct Answer: Option C
Explanation
(sqrt{2} + sqrt{32} – 3sqrt{18} = xsqrt{8})
= (sqrt{36 times 2} + sqrt{16 times 2} – 3sqrt{2 times 9})
= x(sqrt{2 times 4})
= 6(sqrt{2} + 4sqrt{2} – 9sqrt{2} = 2 times sqrt{2})
(sqrt{2} (6 + 4 – 9) = 2xsqrt{2})
(sqrt{2} = 2x sqrt{2}) divide both sides by (sqrt{2})
(frac{sqrt{2}}{sqrt{2}} = frac{2 times sqrt{2}}{sqrt{2}})
1 = 2x
2x = 1
x = (frac{1}{2})