Share

# Find the Mean Proportional Between 6 + 3sqrt3 and 8 - 4sqrt3 - Mathematics

Course

#### Question

Find the mean proportional between 6 + 3sqrt3 and 8 - 4sqrt3

#### Solution

Let the mean proportional between 6 + 3√3 and 8 – 4√3 be x.

⇒ 6 + 3√3, x and 8 – 4√3 are in continued proportion.

⇒ 6 + 3√3 : x = x : 8 – 4√3

⇒ x × x = (6 + 3√3) (8 – 4√3)

⇒ x= 48 + 24√3- 24√3 – 36

⇒ x= 12

⇒ x = 2√3

Is there an error in this question or solution?