Question

Find value Of this question

Answer 1

Answer- x= 1-√2
1/x= 1/(1-√2)
Rationalising the denominator
1/(1-√2)= {1/(1-√2)}× {(1+√2)/(1+√2)}
          = (1+√2)/{ 1² -(√2)²}
          = (1+√2)/ (1-2)
          = (1+√2)/ -1
          = -1-√2

x-1/x= 1-√2-(-1-√2)
         = 1-√2+1+√2
         = 2

Pl. mark as the BRAINLIEST answer..

Answer 2

The answer is given below :

Given that,

x = 1 - √2

Now,

1/x = 1/(1 - √2)

We rationalise the denominator by multiplying both the denominator and numerator by (1 + √2)

So,

1/x = {1/(1 - √2)} × {(1 + √2)/(1 + √2)}

= (1 + √2)/(1 - 2)

= (1 + √2)/(- 1)

= - (1 + √2)

Thus,

x - 1/x

= (1 - √2) - {- (1 + √2)}

= 1 - √2 + 1 + √2

= 2

Identity rule used :

(a + b)(a - b) = a² - b²

Thank you for your question.