Question

sa se aduca la forma cea mai dimpla expresia
$(2 \sqrt{3} +5)(5-2 \sqrt{3} )+(4- \sqrt{5}) ^{2} +8 \sqrt{5}$

Answer 1

(2√3+5)(5-2√3)+(4-√5)²+8√5 
= (5+2√3)(5-2√3) + 16-8√5+5+8√5
=5²-(2√3)² + 16+5 
= 25- 12 + 16+5
=  34.