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

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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

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APPEARS IN

 Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Exercise 7(B) | Q: 3.1 | Page no. 94
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Solution Find the Mean Proportional Between 6 + 3sqrt3 and 8 - 4sqrt3 Concept: Proportions.
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