Simplify the following:
sqrt(3/2) sqrt(1/2)
sqrt(1/2) = (sqrt(1))/(sqrt(2)):
sqrt(3/2) (sqrt(1))/(sqrt(2))
Rationalize the denominator. (sqrt(1))/(sqrt(2)) = (sqrt(1))/(sqrt(2))×(sqrt(2))/(sqrt(2)) = (sqrt(1) sqrt(2))/(2):
sqrt(3/2) (sqrt(1) sqrt(2))/(2)
sqrt(1) sqrt(2) = sqrt(1×2):
(sqrt(3/2) sqrt(2))/(2)
sqrt(3/2) = (sqrt(3))/(sqrt(2)):
((sqrt(3))/(sqrt(2)) sqrt(2))/(2)
Rationalize the denominator. (sqrt(3))/(sqrt(2)) = (sqrt(3))/(sqrt(2))×(sqrt(2))/(sqrt(2)) = (sqrt(3) sqrt(2))/(2):
((sqrt(3) sqrt(2))/(2) sqrt(2))/(2)
sqrt(3) sqrt(2) = sqrt(3×2):
(sqrt(3×2) sqrt(2))/(2×2)
3×2 = 6:
( sqrt(6 ) sqrt(2))/(2×2)
sqrt(6) sqrt(2) = sqrt(6×2):
(sqrt(6×2))/(2×2)
6×2 = 12:
( sqrt(12 ) )/(2×2)
sqrt(12) = sqrt(2^2×3) = 2 sqrt(3):
(2 sqrt(3))/(2×2)
(2 sqrt(3))/(2×2) = (sqrt(3))/(2):
Answer: | (sqrt(3))/(2)
