Question

Simplify the following in the form of a + b √c

3√3 - √2 / 2√3 + √2​

Answer 1

18 - 3√6 - 4√3 + 2√2 / 10

Explanation:

3√3 - √2 / 2√3 + √2​ = 3√3 - √2 / 2√3 + √2​ • 2√3 - √2 / 2√3 - √2 = 18 - 3√6 - 4√3 + 2√2 / (2√3)^2 - (√2)^2 = 18 - 3√6 - 4√3 + 2√2 / 4 • 3 - 2 = 18 - 3√6 - 4√3 + 2√2 / 12 - 2 = 18 - 3√6 - 4√3 + 2√2 / 10.

Hope this helps!