# Thread: subtracting radicals with exponents

1. ## subtracting radicals with exponents

Please help

Expand and Simplify
(2 sqrt 3 - 3 sqrt 2)^2

i'm not sure how to do this when there is an exponent in the equation

2. Originally Posted by nuckers
Please help

Expand and Simplify
(2 sqrt 3 - 3 sqrt 2)^2

i'm not sure how to do this when there is an exponent in the equation
note the pattern for squaring this binomial ...

$(a-b)^2 = a^2 - 2ab + b^2$

$(2\sqrt{3} - 3\sqrt{2})^2 = (2\sqrt{3})^2 - 2(2\sqrt{3} \cdot 3\sqrt{2}) + (3\sqrt{2})^2 = 12 - 12\sqrt{6} + 18 = 30 - 12\sqrt{6}$