Question #6450775Fill in the Blank
Algebra-2
Question
Rationalize the expression . The result is ___________.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to rationalize a binomial radical in the denominator.
This problem assesses the ability to rationalize a binomial radical in the denominator.
Key Concept Explanation
To rationalize a binomial radical in the denominator, multiply both the numerator and the denominator by the conjugate of the binomial. The conjugate is formed by changing the sign between the terms of the binomial.
To rationalize a binomial radical in the denominator, multiply both the numerator and the denominator by the conjugate of the binomial. The conjugate is formed by changing the sign between the terms of the binomial.
Step-by-step Solution
1. Identify the binomial radical in the denominator:
2. Determine the conjugate of the binomial:
3. Multiply both the numerator and the denominator by the conjugate:
4. Simplify the denominator using the difference of squares:
1. Identify the binomial radical in the denominator:
2. Determine the conjugate of the binomial:
3. Multiply both the numerator and the denominator by the conjugate:
4. Simplify the denominator using the difference of squares:
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