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Example Questions
Example Question #2414 : Sat Mathematics
Possible Answers:
Correct answer:
Explanation:
Example Question #2 : How To Find A Rational Number From An Exponent
Rationalize the denominator:
Possible Answers:
Correct answer:
Explanation:
The conjugate of is .
Now multiply both the numerator and the denominator by
and you get:
Hence we get
Example Question #1 : How To Find A Rational Number From An Exponent
Solve for :
Possible Answers:
Correct answer:
Explanation:
Example Question #2 : How To Find A Rational Number From An Exponent
Solve for .
Possible Answers:
Correct answer:
Explanation:
Example Question #3 : How To Find A Rational Number From An Exponent
If,
What does
Possible Answers:
Correct answer:
Explanation:
If ,
then .
Example Question #4 : How To Find A Rational Number From An Exponent
Possible Answers:
Correct answer:
Explanation:
From the equation in the problem statement
Now squaring both sides we get
this is a quadratic equation which equals
and the factors of this equation are
This gives us .
However, if we plug these solutions back into the original equation, does not create an equality. Therefore, is an extraneous solution.
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