Question

if x is equal to root 2 + 1 then find the value of x square + 1 upon x square​

Answer 1

Step-by-step explanation:

Given x = √2 + 1

So 1/x = 1/(√2+1)

Rationalise the denominator,

1/(√2+1) *(√2-1)/(√2-1)

(√2 - 1)/(2 - 1)

--› 1/x = √2 - 1

Now,

(x+1/x)² = x² + 1/x² + 2

(√2+1 + √2-1)² = x² + 1/x² + 2

(√2)² - 2 = x² + 1/x²

2 - 2 = x² + 1/x²

x² + 1/x² = 0

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