Question

if x= 3 + 2√2 then find the value of √x + 1 /√x​

Answer 1

Answer:

2√2

Step-by-step explanation:

x= 3+2√2

x= 2+1+ 2√2

x= (√2)² + 1² + 2×√2×1

x = (√2+1)²

Taking root both side

√x= √2+1

1/√x = 1/(√2+1)

= (√2-1)/ {(√2-1)× (√2+1)}

= (√2-1)/ (2-1)

= (√2-1)

So √x + 1/√x = (√2 + 1) + (√2 - 1)

= √2 + 1 + √2 - 1

= 2√2