If a= √5+√10÷√10-√5 And b=√10-√5÷√10+√5 Then show that √a-√b-2√ab=0 Share with your friends Share 2 Ashutosh Verma answered this Answer : We have : a = 5 + 1010 - 5 and b = 10 -510 + 5 , So ⇒a = 5 + 1010 - 5 ×10 + 510 + 5⇒a = 50 + 15 + 5010- 5⇒a = 15 + 25 × 5 × 2 5⇒a = 15 + 102 5⇒a = 53+ 22 5⇒a = 3+ 22 And ⇒b = 10 - 510 + 5 ×10 - 510 - 5⇒b = 10 + 5 - 250 10- 5⇒b = 15 - 25 × 5 × 2 5⇒b = 15 - 102 5⇒b = 53- 22 5⇒b = 3 - 22 So, a - b - 2ab So, ⇒3 + 22 - 3 - 22 - 29 - 8⇒2 + 1 + 22 - 2 + 1 - 22 - 29 - 8⇒2 2+12+ 2×2× 1 - 2 2+12- 2×2× 1 - 2⇒2 + 12 - 2 - 1 2 - 2⇒2 + 1 - 2 - 1 - 2⇒2 + 1 -2 + 1 - 2⇒2 - 2⇒0 ( Hence proved ) 5 View Full Answer