The value of 1/√ 12+√ 140+1/√ 8-√ 6...
Question
Fullscreen

The value of 1/√ 12+√ 140+1/√ 8-√ 60 is

JEE/Engineering Exams
Maths
Solution
125
Rating
4.0 (1 ratings)
The value of 1/√ 12+√ 140+1/√ 8-√ 60 is
Fullscreen

1/√ 12+√ 140 = 1/12+2√ 35 = 1/√ (15)^2+(√ )^2+2√ 35

=1/√ 7+√ 5 = √ 7-√ 5/7-5 = √ 7-√ 5/2

1/√ 8-√ 60 = 1/√ 8-2√ 15 = 1/√ (√ 5)^2+(√ 3)^2-2√ 15

=1/√ 5-√ 3 = √ 5+√ 3/2

⇒1/√12+√140+1/√8-√60 = √7-√5/2+√3√5/2

= √7+√3/2

Quick and Stepwise Solutions Just click and Send Download App OVER 20 LAKH QUESTIONS ANSWERED Download App for Free