Question

if x=√3-1,what is the value of 1/x​

Answer 1

Answer:

hlo guy

here is your question's answer.

x=√3-1

1/x=1/√3-1

1/x=1/√3-1 (√3+1 /√3+1)

1/x= (√3+1)/(3+1)

1/x= (√3+1)/4

hope it will help you.

mark me as brainliest.

Answer 2

★ Given :

$x = \sqrt{3} - 1$

★ To find :

$the \:value \:of \:\frac{1}{x}$

★ Solution :

$\frac{1}{x} = \frac{1}{\sqrt{3} - 1} \\ \\ \\ by\: rationalising \\ \\ \\ \frac{1}{\sqrt{3} -1} \times \frac{\sqrt{3}+1}{\sqrt{3} + 1} \\ \\ \\ {\pink{\boxed{(a+b)(a-b) = a^2 - b^2 }}} \\ \\ \\ = \frac{\sqrt{3} + 1}{(\sqrt{3})^2 - (1)^2} \\ \\ \\ = \frac{\sqrt{3} + 1}{ 3-1} \\ \\ \\ = \frac{\sqrt{3} + 1}{2} \\ \\ \\ {\purple{\boxed{\therefore \: value \:of \: \frac{1}{x} \: = \: \frac{\sqrt{3} + 1}{2} }}}$

★ Additional Information :

$\purple{Surds}$ - Surds are the irrational numbers which are roots of positive integers and the value of roots can't be determined. ... Examples are √2, √5, ∛17 .

$\purple{Rationalising\:factor}$ - Rationalising factor is a term with which a term is multiplied or divided to make the whole term rational. Ex - Rationalising factor of 15 - √3 is 15 + √3. In the above question rationalising factor is √3 + 1.