Question

Pls answer this qn i need it urgently

Answer 1

i) 10

ii) 98

Explanation:

x= (√3+√2)/(√3-√2)

i)

• x+1/x= (√3+√2)/(√3-√2) + (√3-√2)/(√3+√2)=
• ((√3+√2)²+(√3-√2)²)/(√3+√2)(√3-√2)=
• (3+2+2√6+3+2-2√6)/(3-2)= 10

ii)

• x²+1/x²= (x+1/x)² - 2x*1/x= 10² - 2= 100 - 2= 98

Answer 2

First rationalize the surd

(√3 +√2)(√3 - √2)/(√3 - √2)(√3 -√2)

The final answer will be 5 + 2√6

So x = 5 + 2√6

I) x + 1/x

5 + 2√6 + 1/5 + 2√6

Find the LCM

The final answer will be 10

ii) x² +1/x²

(5 + 2√6)² + 1/(5 +2√6)²

= 49 + 20√6 + 1/49 + 20√6

Find the LCM

The final answer will be 98

For i) x = 10

ii) x = 98

Hope this helps.