Now solve this question. LHS=RHS
Answers
Answer:
rationalise each term separately .
Step-by-step explanation:
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Answer:
Step-by-step explanation:
1 - 1 - 1 - 1 - 1 =5
(3-√8) (√8-√7) (√7-√6) (√6-√5) (√5-2)
L.H.S
1 - 1 - 1 - 1 - 1
(3-√8) (√8-√7) (√7-√6) (√6-√5) (√5-2)
⇒ 1 × (3+√8) - 1 × (√8+√7) - 1 × (√7+√6)
(3-√8) (3+√8) (√8-√7) (√8+√7) (√7-√6) (√7+√6)
- 1 × (√6+√5) - 1 × (√5+2)
(√6-√5) (√6+√5) (√5-2) (√5+2)
⇒ (3+√8) - (√8+√7) - (√7+√6) - (√6+√5)
[(3)²-(√8)²] [(√8)²-(√7)²] [(√7)²-(√6)²] [(√6)²-(√5)²]
- (√5+2)
[(√5)²-2²]
⇒(3+√8) - (√8+√7) - (√7+√6) - (√6+√5) - (√5+2)
(9-8) (8-7) (7-6) (6-5) (5-4)
⇒(3+√8) - (√8+√7) - (√7+√6) - (√6+√5) - (√5+2)
⇒3+√8-√8+√7-√7+√6-√6+√5-√5+2
⇒3+2
⇒5=R.H.S