Question

If x=5-2√6 find the value of √x+1÷√x

Answer 1

Answer:

Step-by-step explanation:

x = 5 - 2√6

1/x = {1/(5 - 2√6)

1/x = {1/(5 - 2√6)} × (5 + 2√6)/(5 + 2√6)

(5 + 2√6)/25 - 24

5 + 2√6

(√x + 1/√x²) = x + 1/x + 2 × √x × 1/√x 

x + 1/x + 2

 √x + 1/√x = √x + 1/x + 2 (whole root)

 √5 - 2√6 + 5 + 2√6 + 2

√5 + 5 + 2

 √12