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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
For x>0,x23=125. Find x.
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Answer: 25
- Raise both sides to the power 32.
- x=(125)32=25.
Example 2
Solve 32x=220.
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Answer: 4
- Rewrite the left side as 25x.
- Equal bases give 5x=20.
Example 3
For x>0,x23=27. Find x.
Show worked answer
Answer: 9
- Raise both sides to the power 32.
- x=(27)32=9.
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