((sqrt[4]{3} + sqrt[4]{2})(sqrt[4]{3} – sqrt[4]{2})(sqrt{3} + sqrt{2})) is equal to
-
A.
1 -
B.
((sqrt{2} + 4sqrt{2})) -
C.
(6(sqrt{2}) -
D.
8
Correct Answer: Option A
Explanation
((sqrt[4]{3} + sqrt[4]{2})(sqrt[4]{3} – sqrt[4]{2})(sqrt{3} + sqrt{2}))
((sqrt[4]{3} + sqrt[4]{2})(sqrt[4]{3} – sqrt[4]{2}) = sqrt{3} – sqrt[4]{6} + sqrt[4]{6} – sqrt{2})
= (sqrt{3} – sqrt{2})
((sqrt{3} – sqrt{2})(sqrt{3} + sqrt{2}) = 3 + sqrt{6} – sqrt{6} – 2)
= (3 – 2 = 1)