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Leni [432]
3 years ago
5

Rationalise the denominator.1/√5+√2​

Mathematics
2 answers:
Pani-rosa [81]3 years ago
3 0

Answer:

Exact Form:

  √5 + 5√2

__________

       5

Decimal Form:

1.86142715

…

Step-by-step explanation:

N/A

Romashka-Z-Leto [24]3 years ago
3 0

Step-by-step explanation:

\frac{1}{ \sqrt{5}  +  \sqrt{2} }  \\  =  \frac{1}{ \sqrt{5}  +  \sqrt{2} }  \times  \frac{\sqrt{5}   -   \sqrt{2} }{ \sqrt{5}   -   \sqrt{2} }  \\  \\  =  \frac{ \sqrt{5} -  \sqrt{2}  }{ {( \sqrt{5)} }^{2}  -  {( \sqrt{2)} }^{2} }  \\  \\  =  \frac{ \sqrt{5} -  \sqrt{2}  }{5  -  2 }  \\  \\ =  \frac{ \sqrt{5} -  \sqrt{2}  }{3}

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