We can simplify the expression by rationalizing the denominator, which means to eliminate the radical in the denominator by multiplying both the numerator and denominator by a suitable expression. In this case, we can multiply by √2 on both the top and the bottom to obtain:
√12 / √8x = (√12 / √8x) * (√2 / √2)
= (√24 / 2√8x)
= (2√6 / 2 * 2√x)
= (√6 / 2√x)
Therefore, the simplified expression is:
C. √6x / 2x
Simplify the rational expression by rationalizing the denominator.
√12 / √8x
A. √3x / 4x
B. 3√4x / 4x
C. √6x / 2x
D. 2√3x / x
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