Question

rationalise the denominator ☝​

Answer 1

Step-by-step explanation:

(√3-1)/(√3+1)

=(√3-1)/(√3+1)×(√3-1)/(√3-1)

=(4-2√3)/2

=2-√3

Answer 2

Answer: $= 2 - \sqrt{3}$

Solution:

$=\frac{ \sqrt{3} - 1 }{\sqrt{3} + 1 } X \frac{\sqrt {3}-1}{\sqrt{3}-1 }$

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

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

Identities: [(a - b)² = (a - b) (a - b)] [ a² - b² = (a + b)(a - b) ]

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

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

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

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

$= 2 - \sqrt{3}$

Hope you understood.

Thank You.