How can you write the expression with a rationalized denominator?
^3 sqrt 2 / ^3 sqrt 4
a.3sqrt32/2
b. 2+^3sqrt4/4
c. ^3sqrt4/4
d. ^3sqrt4/2
1 answer
First, we can simplify the expression ^3√4 to 2. Then, we can rewrite the original expression as ^3√2/2. To rationalize the denominator, we can multiply both the numerator and denominator by ^3√4, which gives us ^3√2 * ^3√4 / (2 * ^3√4). Simplifying further, we get ^3√(2*4) / (2* ^3√(4*4)) or ^3√8 / (2*4), which simplifies to ^3√2 / 4. Therefore, the answer is (c) ^3√4/4.
1 answer