To simplify the expression, first simplify each square root:
3√2 = 3 √2 = 3 √(2)1/2√8 = 1/(2 √8) = 1/(2 √(4 2)) = 1/(2 2 * √2) = 1/(4√2)
Now multiply the expressions together:
3√2 1/2√8 = (3 √(2)) * (1/(4√2))= 3/4
Therefore, 3√2 * 1/2√8 simplifies to 3/4.
To simplify the expression, first simplify each square root:
3√2 = 3 √2 = 3 √(2)
1/2√8 = 1/(2 √8) = 1/(2 √(4 2)) = 1/(2 2 * √2) = 1/(4√2)
Now multiply the expressions together:
3√2 1/2√8 = (3 √(2)) * (1/(4√2))
= 3/4
Therefore, 3√2 * 1/2√8 simplifies to 3/4.