- (1 + √3)
- 2(1 + √3)
- 2(1 + 2 √3)
- None of these

Option 2 : 2(1 + √3)

Stay updated with the Quantitative Aptitude questions & answers with Testbook. Know more about Ratio and Proportion and ace the concept of Direct or Indirect Proportion.

**Concept used:**

An equality of two ratios is called as proportion i.e. a/b = c/d, then we can say that a, b, c and d are in proportion.

When a, b, c and d are in proportion, it can be written as

a ∶ b ∶∶ c ∶ d

Where, a and d are Extremes and b and c are Means

Product of Extremes would be same as product of Means

ad = bc

**Calculations:**

Given numbers are in proportion

√2 ∶ (1 + √3) ∶∶ √8 ∶ x

⇒ √2/(1 + √3) = √8/x

⇒ √2x = √8(1 + √3)

⇒ √2x = 2√2 (1 + √3)

⇒ x = 2(1 + √3)

**∴ ****The value of x is 2(1 + √3)**

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