Question

If `sqrt(2) : (1 + sqrt(3)) :: sqrt(6) : x`, then x is equal to ______.

Options

• `sqrt(3) + 3`

• `1 - sqrt(3)`

• `sqrt(3) - 3`

• `1 + sqrt(3)`

Answer 1

If `sqrt(2) : (1 + sqrt(3)) :: sqrt(6) : x`, then x is equal to `underlinebb(sqrt(3) + 3)`.

Explanation:

From the proportion, `x = (sqrt(6)(1 + sqrt(3)))/sqrt(2) = sqrt(3)(1 + sqrt(3)) = sqrt(3) + 3`. The other expressions are not equal to this value.