Question

Please answer this question and kindly give correct and step by step solution.
I am not understanding how to equate rational and irrational parts in 2 - √3 = a+b√3.
The correct ans. is a = 2 and b = -1. Kindly explain.
Please answer as soon as possible.​

Answer 1

I hope this will help youcffbglcnsndje

Answer 2

$\begin{gathered}\large {\boxed{\sf{\mid{\overline {\underline {\star ANSWER ::}}}\mid}}}\end{gathered}$

$\frac{ \sqrt{3} - 1 }{ \sqrt{3} + 1} = a + b \sqrt{3} \\ \\ ➢ \frac{ \sqrt{3} - 1}{ \sqrt{3} + 1} \times \frac{ \sqrt{3} -1}{ \sqrt{3} - 1} \\ \\➢ \frac{( \sqrt{3} - 1) {}^{2} }{3 - 1} \\ \\ ➢ \frac{3 + 1 - 2 \sqrt{3} }{2} \\ \\ ➢ \frac{4 - 2 \sqrt{3} }{2} \\ \\ ➢ \frac{2(2 - \sqrt{3} )}{2} \\ \\ ➢2 - \sqrt{3 } = a + b \sqrt{3} \\ \\ ➢2 + ( - 1) = a + b \sqrt{3}$

$\Large\orange{\textbf {\textsf {a=2}}}$

$\Large\purple{\textbf {\textsf {b=-1}}}$

$\huge\mathfrak\pink{hope\:its\:helpful}$

$\huge\sf\underline\red{answered\:by\:KIMU}$