What is the rational form of 1/√5+√2
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1/√5+√2.
Rationalising denominator of √5+√2 is √5-√2.
Multiply numerator & denominator by √5-√2.
1/√5+√2×√5-√2/√5-√2.
√5-√2/(√5)²-(√2)². (Because (a+b)×(a-b)=a²-b² where a=√5 & b=√2).
√5-√2/5-2. (Because √ & ² will cancel).
√5-√2/3.
I think this is your answer.
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