Question

if a and b if √3-1/√3+1=a-b√3

Answer 1

There's the answer;Hope it helps you.

Answer 2

Answer:

a = 2

and,

b = 1

Step-by-step explanation:

In the question,

We have been given a term,

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

On rationalizing the term in the numerator and denominator for the further simplification we get,

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

Therefore, on the solving and simplifying the LHS of the given equation we get,

$2-\sqrt{3}$

Now,

On comparing the term with the RHS, we get,

$2-\sqrt{3}=a-b\sqrt{3}$

We can see on Comparison that,

a = 2

and,

b = 1

Therefore, the value of 'a' and 'b' are 2 and 1 respectively.