Question

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Answer 1

Answer:

$\frac{ \sqrt{7} - \sqrt{5} }{ \sqrt{7} + \sqrt{5} } \\ = \frac{( \sqrt{7} - \sqrt{5}) \times ( \sqrt{7} - \sqrt{5}) }{( { \sqrt{7} }^{2} - { \sqrt{5} }^{2} )} \\ = \frac{7 - 2 \sqrt{35} + 5 }{2} \\ = \frac{12 - 2 \sqrt{35} }{2} \\ = 6 - \sqrt{35}$

Answer 2

Answer:

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Step-by-step explanation:

Answer:

\begin{gathered}\frac{ \sqrt{7} - \sqrt{5} }{ \sqrt{7} + \sqrt{5} } \\ = \frac{( \sqrt{7} - \sqrt{5}) \times ( \sqrt{7} - \sqrt{5}) }{( { \sqrt{7} }^{2} - { \sqrt{5} }^{2} )} \\ = \frac{7 - 2 \sqrt{35} + 5 }{2} \\ = \frac{12 - 2 \sqrt{35} }{2} \\ = 6 - \sqrt{35}\end{gathered}

7

+

5

7

−

5

=

(

7

2

−

5

2

)

(

7

−

5

)×(

7

−

5

)

=

2

7−2

35

+5

=

2

12−2

35

=6−

35