Question

if x= 5-2√6 find the value of √x+1\√x

​

Answer 1

Answer:

holla user !! √12

Step-by-step explanation:

Solution:-x = 5 - 2√61/x = {1/(5 - 2√6)⇒ 1/x = {1/(5 - 2√6)} × (5 + 2√6)/(5 + 2√6)= (5 + 2√6)/25 - 24= 5 + 2√6Now,(√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

hope that helped mate !