Number Systems
Find the reciprocal of the following: $$(3/8)^4$$
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True / False
State whether True or False. $$\dfrac{\sqrt{3}}{2}$$ and $$\dfrac{2\sqrt{3}}{3}$$ are reciprocals.
ATRUE
Correct Answer
BFALSE
Solution
Yes: The product of a number and its reciprocal must equal 1.
To test whether or not two numbers are reciprocals, multiply them.
If the product is 1, they are reciprocals; if it is not, they are not:
$$\displaystyle \frac{\sqrt{3}}{2}\times \frac{2\sqrt{3}}{3}=\frac{2(\sqrt{3})^2}{2(3)} = \frac{6}{6}=1$$
Thus, the numbers are indeed reciprocals.
GIven statement is true.
SIMILAR QUESTIONS
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