if 1/root5+2 + 1/2+root3 + 1/root3+root2 + 1/root2+1 = a+b root c, then find the value of a + b + c
Answers
Answered by
6
Answer:
1/ √3 - √ 2 - 2 / √ 5 - √ 3 - 3 / √ 2 - √ 5 .
= 1 / √ 5 - √ 2 × √ 3 + √ 2 / √ 3 + √ 2 - 2 / √ 5 - √ 3 × √ 5 + √ 3 ) √ 5 + √ 3 - 3 / √ 2 - √ 5 × √ 2 + √ 5 √ 2 + √ 5 .
= √ 3 + √ 2 / ( √ 3 )² - ( √ 2 ) ² - 2 (√5 + √ 3 ) / √ 5² - √ 3 )² - 3 (√ 2 + √ 3 / √ 2² - √ 5².
= √ 3 - √ 2 - 2 ( √ 5 + √ 3 / 2 + 3 ( √ 2 + √ 5 ) / - 3 .
= √ 3 + √ 2 - √ 5 - √ 3 + √ 5 = √ 2 + √ 2 = 2 √ 2
Similar questions