Question

plz do step by step
then only I will make u as brilliant​

Answer 1

Answer:

√3-1 × √3-2

√3+1 × √3-1

= (√3-1) (√3-1)

3-1

= 3-√3-√3+1

2

= 4-2√3

2

= 2(2-√3)

2

= 2-√3

Answer 2

$\bf \underline{Simplify :- \: \frac{ \sqrt{3} - 1}{ \sqrt{3} + 1} }$

$\sf{On \: Rationalising \: the \: denominator, \: We \: get}$

$\begin{array}{l l l} \end{array}\large\frac{ \sqrt{3} - 1}{ \sqrt{3} + 1 } \times \frac{ \sqrt{3} - 1}{ \sqrt{3} - 1} \\ \\ \longrightarrow \: \frac{( \sqrt{3} - 1) {}^{2} }{( \sqrt{3) {}^{2} } - (1) {}^{2} } \\ \\ \longrightarrow \: \frac{( \sqrt{3) } ^{2} - 2( \sqrt{3)}(1) + (1) {}^{2} }{3 - 1 } \\ \\ \longrightarrow \: \frac{3 - 2 \sqrt{3} + 1}{2} \\ \\ \longrightarrow \: \frac{4 - 2 \sqrt{3} }{2} \\ \\ \longrightarrow \: \frac{2(2 - \sqrt{3}) }{2} \\ \\ \longrightarrow \large\fbox \orange{2 - √3}\begin{array}{l l l} \end{array}$

$\mathcal \red{IDENTITIES \: \: USED:-} \\ \sf{(a - b) {}^{2} = a {}^{2} - 2ab + b {}^{2} } \\ \sf{a {}^{2} - b {}^{2} = (a + b)(a - b)}$