Question

x=23+3√5, then find √2x+1/√2x

Answer 1

Step-by-step explanation:

Given  

x=2+√3, then find √2x+1/√2x

• Given x = 2 + √3
• Multiply by 2 we get
• 2x = 4 + 2√3
• 2x = (√3 + 1)^2 (since 3 + 2√3 + 1 = 4 + 2√3)
• Also √2x = √3 + 1
• √2x + 1/√2x = √3 + 1 + 1/√3 + 1 ------------1
• Also 1/√2x = 1/√3 + 1
•                  = √3 – 1 / √3 – 1 x 1/√3 + 1
•        1/√2x = √3 – 1 / 3 – 1
•                 = √3 – 1 / 2
• Now 1 becomes  
• √2x + 1/√2 x = √3 + 1 + √3 – 1 / 2
•                       = √3 + 1 + √3 – ½
•                      = √3 + 1 + √3/2 – 1/2  
•                     = 3√3 / 2 + 1/2  
•                       = 3√3 + 1 / 2

Reference link will be

https://brainly.in/question/1471145