Question

The mean proportion between `(3 + sqrt(2))` and `(12 - sqrt(32))` is ______.

Options

• 6

• `2sqrt(7)`

• `sqrt(7)`

• `(15 - 3sqrt(2))/2`

Answer 1

The mean proportion between `(3 + sqrt(2))` and `(12 - sqrt(32))` is `underlinebb(2sqrt(7))`.

Explanation:

Since `sqrt(32) = 4sqrt(2)`, the product of the two quantities is 28. Their mean proportion is therefore `sqrt(28) = 2sqrt(7)`.