Question

(2+ √3)(2-√2)²=?
Rezolvati va rog .

Answer 1

$(2+ \sqrt{3} )(2- \sqrt{2} )^2=(2+ \sqrt{3} )(2^2-2 \cdot 2 \cdot \sqrt{2} + \sqrt{2^2} )= \\ =(2+ \sqrt{3} )(4-4 \sqrt{2} +2)=(2+ \sqrt{3} )(6-4 \sqrt{2} )= \\ =12-8 \sqrt{2} +6 \sqrt{3} -4 \sqrt{6}$