Question

find the value of a and b , if root 3-1÷ root 3+1=a +b root 3

Answer 1

Answer:

a=2 and b=-1

Step-by-step explanation:

$\frac{ \sqrt{3} - 1}{ \sqrt{3} + 1 } = a + b \sqrt{3}$

$\frac{( \sqrt{3} - 1) ^{2} }{ \sqrt{3} {}^{2} - 1 {}^{2} } = \frac{3 + 1 - 2 \sqrt{3} }{3 - 1}$

$\frac{4 - 2 \sqrt{3} }{2} = \frac{2(2 - \sqrt{3} )}{2} = 2 - \sqrt{3}$

now,comparing a=2 and b =-1