Question

SALUT 
CALCULATI E=(1+A*B)(A+B)-(1-A*B)(A-B),UNDE

B=$( 3\sqrt{8} - 2\sqrt{12} + \sqrt{20} ):( 3\sqrt18- 2\sqrt{27} + \sqrt{45} )$
A=$\sqrt{4+ \sqrt{8} } * \sqrt2{} + \sqrt{2+ \sqrt{2} } * \sqrt{2- \sqrt2{}+ \sqrt{2}$

Answer 1

B=(6√2-4√3+2√5):(9√2-6√3+3√5)=2(3√2-2√3+√5):3(3√2-2√3+√5)=2/3
A=√(8+4√2)+√(4+2√2-2√2-2+2√2+2)=2√(2+√2)+√2.√(2+√2)=√(2+√2)(2+√2)=
√(2+√2)³ totul fiind sub radical
cand radicalul este mare este in fata unei paranteze
E=(1+AB)(A+B)-(1-AB)(A-B)=
A+A²B+B+AB²-(A-A²B-B+AB²=2A²B+2B=2B(A+B)
E=2.2/3[√(2+√2)+2/3]=4/9[(3√(2+√2)+2)]