If 𝑥 = 2√11 − 2√7√11 + √7 𝑎𝑛𝑑 𝑦 = 3√11 + 3√7√11 − √7 thenfind 𝑥2. 𝑦2

14. If 𝑎 = √3−√2√3+√2 and 𝑏 = √3+√2√3−√2 then find the value of 𝑎2 + 𝑏2 − 3𝑎𝑏.

Solve the following radical equation.121−z⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√−z=11

If the ratio of the 5th5𝑡ℎ term from the beginning to the 5th5𝑡ℎ term from the end in the expansion of (2–√4+13√4)n24+134𝑛 is (6–√)5:165:1, then n𝑛 is equal toA17

∫𝑥25𝑥3−5‾‾‾‾‾‾‾‾√ d𝑥=

If 𝑥 = 7 − 4√3, then the value of √𝑥 + 1√𝑥 :(ii) Prove that :(𝑥𝑞+1𝑥𝑝+1)𝑞+𝑝. (𝑥𝑟+1𝑥𝑞+1)𝑟+𝑞. (𝑥𝑝+1𝑥𝑟+1 )𝑝+𝑟= 1