Question

Please give the solution of 3rd ques.

Answer 1

1. Question⇒   If x= 9+4√5 find the value of √x - (1/√x).

Step-by-step explanation:

• Given x = 9 + 4√5, find √x - 1 / √x
• √x = √(9 + 4√5)
• √x = √(√5 + √4 + 2√(5x4))
• √x = √(√5 + √4)2 
• √x = √5 + 2
• 1 / √x = 1 / (√5 + 2)  rationalize we get
• 1 / √x =  (√5 - 2)
• ∴ √x - 1 / √x = √5 + 2 - √5 + 2 = 4.