- #1
ajk426
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Help with how to do this equation
- MHB
- Thread starter ajk426
- Start date
In summary, the conversation discusses rationalizing the denominator of a given expression and the potential issues with the given problem. There may be multiple correct answers depending on whether a and b are specified as real numbers or rational numbers.
- #2
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Hint: Rationalize the denominator: \(\displaystyle \dfrac{8 - \sqrt{27}}{2 \sqrt{3}} = \dfrac{8 - \sqrt{27}}{2 \sqrt{3}} \cdot \dfrac{\sqrt{3}}{\sqrt{3}}\)
-Dan
-Dan
- #3
ajk426
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I've done that but I'm not sure where to go from there.
- #4
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You should have gotten a form that looks like \(\displaystyle a + b \sqrt{3}\) so I don't know where the problem is. Please post what you got.ajk426 said:
-Dan
- #5
Kansas Boy
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When you multiplied both numerator and denominator by $\sqrt{3}$, what did you get?
- #6
Kansas Boy
- 44
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Did the problem really say that a and b are real numbers? If so there are infinitely many correct answers. IF the problem had specified "rational number" then there would be a unique answer.
FAQ: Help with how to do this equation
What is the equation and what does it represent?
The equation is a mathematical representation of a relationship between different variables. It can be used to solve for unknown values or to predict outcomes.
How do I know which equation to use for a specific problem?
The equation you use will depend on the information given in the problem and what you are trying to solve for. It is important to carefully read the problem and identify the known and unknown values before selecting an appropriate equation.
Can you explain the steps for solving the equation?
The steps for solving an equation may vary depending on the specific equation and problem, but generally involve isolating the variable you are solving for and performing mathematical operations to both sides of the equation to simplify and solve for the unknown value.
What if I get stuck while trying to solve the equation?
If you get stuck while solving an equation, it is important to go back and review the steps you have taken and check for any errors. You can also try using a different method or asking for help from a teacher or tutor.
Can you show me an example of how to solve this equation?
Yes, I can provide an example of solving the equation, but it is important to understand the steps and reasoning behind the solution. It is also helpful to practice solving similar equations on your own to fully grasp the concept.