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If under root 3+1 upon under root 3-1 is equal to a+b under root 3 find the valve of a and b

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Answer:

Answer:

\begin{gathered} \frac{ \sqrt{3} - 1 }{ \sqrt{3} + 1 } \\ \\ = ( \frac{ \sqrt{3} - 1 }{ \sqrt{3} + 1 } )( \frac{ \sqrt{3} - 1 }{ \sqrt{3} - 1 } ) \\ \\ = \frac{ {( \sqrt{3} - 1)}^{2} }{3 - 1} \\ \\ = \frac{4 - 2 \sqrt{3} }{2} \\ \\ 2 - \sqrt{3} \\ \\ a = 2 \\ \\ b = 1 \\ \\ \end{gathered}

3

+1

3

−1

=(

3

+1

3

−1

)(

3

−1

3

−1

)

=

3−1

(

3

−1)

2

=

2

4−2

3

2−

3

a=2

b=1

443
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