Question

if x=7+4√3 find the value of x+1/x​

Answer 1

Answer:

Given : x = 7 + 4√3.

To find : √x + 1 / √x.

Solution : x = 7 + 4√3. ⇒ x = 4 + 3 + 4√3. ⇒ x = 2² + √3² + 2 × 2 × √3. ⇒ x = ( 2 + √3)² ⇒ √x = 2 + √3. Now, 1 / √x = 1 / 2 + √3 × 2 - √3 / 2 - √3. ⇒ 1 / √x = 2 - √3 / 2² - √3² ⇒ 1 / √x = 2 - √3 / 4 - 3. ⇒ 1 / √x = 2 - √3. Again, √x + 1 / √x = 2 + √3 + 2 - √3. ⇒ √x + 1 / √x = 2 + 2.

Answer 2

Answer:

l don't know the answer of this question