Question

1√3-1 rationalise the denominator with step by step explanation ​

Answer 1

Answer:

1/√3 -1 = 1/√3 -1 × √3 +1/√3 +1

= (√3+1) × 1 / (√3 -1)√3 +1)

= (√3 +1)/3-1 = √3 +1/2

Answer 2

$\huge\mathfrak\pink{Solution}$

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