on rationalizing the denominator of 1/√5+√2
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1 / (√5 + √2)
=> 1 / (√5 + √2) × (√5 – √2) / (√5 – √2)
=> (√5 – √2) / [ (√5)² – (√2)² ]
=> (√5 – √2) / (5 – 4)
=> √5 – √2
1 / (√5 + √2)
=> 1 / (√5 + √2) × (√5 – √2) / (√5 – √2)
=> (√5 – √2) / [ (√5)² – (√2)² ]
=> (√5 – √2) / (5 – 4)
=> √5 – √2
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