Question

if x = √2 -1 , then write the value of 1/x.​

Answer 1

Answer:

Step-by-step explanation:

1/x= 1/(√2 -1 ) *(√2 +1)/(√2 +1) ∵rationalizing the denominator

1/x=(√2 +1)/(2-1) ∵ (a+b)(a-b) = a²-b²

∴1/x=(√2 +1)

Answer 2

Answer:

1/x

= 1/√2-1

= 1 × √2+1/ √2-1 × √2+1

= √2 + 1/ (√2)² - 1²

= √2 + 1/ 2-1

=√2 + 1/ 1

=√2 + 1