Question

Rationalise the denominatiors

1 / √5 + √2​

Answer 1

Answer:

Hello Mate!

\begin{gathered}\frac{1}{ \sqrt{5} + \sqrt{2} } \\ rationalization \\ \frac{1}{ \sqrt{5} + \sqrt{2} } \times \frac{ \sqrt{5} - \sqrt{2} }{ \sqrt{5} - \sqrt{2} } \\ \frac{ \sqrt{5} - \sqrt{2} }{5 - 2} = \frac{ \sqrt{5} - \sqrt{2} }{3}\end{gathered}

5

+

2

1

rationalization

5

+

2

1

×

5

−

2

5

−

2

5−2

5

−

2

=

3

5

−

2

Hope it helps☺!

Step-by-step explanation:

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Answer 2

$\frac{1}{ \sqrt{5} + \sqrt{2} }$

$\frac{1}{ \sqrt{5} + \sqrt{2} } \times \frac{ \sqrt{5} - \sqrt{2} }{ \sqrt{5} - \sqrt{2} }$

$\frac{ \sqrt{5} - \sqrt{2} }{ \sqrt{5} - 2} = \frac{ \sqrt{5} - \sqrt{2} }{3}$

hope it helps u....!!