Question

simplify: (3/3-√8) - (1/√8-√7). +(1/√7-√6) -(1/√6-√5) +(1/√5-2)​

Answer 1

1. QUESTION⇒   (3/3-√8) - (1/√8-√7). +(1/√7-√6) -(1/√6-√5) +(1/√5-2)

• 1/3-√8-1/√8-√7+1/√7-√6-1/√6-√5+1/√5-2
• Now,
• 1/3-√8 = 3+√8,
• 1/√8-√7 = √8+√7,
• 1/√7-√6 = √7+√6,
• 1/√6-√5 = √6+√5,
• 1/√5-2 = √5+2
• 1/3-√8-1/√8-√7+1/√7-√6-1/√6-√5+1/√5-2
• 3+√8-√8-√7+√7+√6-√6-√5+√5+2
• 3+2=5