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Fractional indices, conjugates and exact surd relationships
Free examples and worked answers. No account needed.
Practise the method.
Fractional indices, conjugates and exact surd relationships
Optional enrichment: Fractional indices, conjugates and exact surd relationships
Example 1
Evaluate (6+√3)(6−√3).
Show worked answer
Answer: 33
- Use (u+v)(u−v)=u2−v2.
- 36−3=33.
Example 2
√80+√180=x√5. Find x.
Show worked answer
Answer: 10
- Extract square factors.
- 4√5+6√5=10√5.
Example 3
Evaluate (6+√7)(6−√7).
Show worked answer
Answer: 29
- Use (u+v)(u−v)=u2−v2.
- 36−7=29.
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