melanie7152
13.09.2019 •
Mathematics
Which terms are rational in the expansion of (\sqrt{3} + \frac{1}{\sqrt[4]{6}})^{15} . list the rational terms and justify why the others are not rational.
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Ответ:
Binomial expansion formula,
Where,
∵ both and are irrational numbers,
And, if the power of √3 is even, it converted to a rational number,
If its power is odd it remained as irrational number,
But, the product of a rational number and irrational number is irrational,
Thus, all terms in the above expansion are irrational. ( which can not expressed in the form of p/q, where, p and q are integers s.t. q ≠ 0 )
Ответ:
260 so Answer B
Step-by-step explanation: