Răspuns :
(√16/3-√49/3)⁻²:[7/(√11-2)+5/(2+√11)]⁻²
√16/3=√16/√3=4/√3=4√3/3
√49/3=√49/√3=7/√3=7√3/3
7/(√11-2)=7(√11+2)/(11-4)=7(√11+2)/7=√11+2
5/(2+√11)=5(2-√11)/(4-11)=-5(√11-2)/-7=5(√11-2)/7
(4√3/3-7√3/3)⁻²:[√11+2+(5√11-10)/7]⁻²=
(-3√3/3)⁻²:[(7√11+14+5√11-10)/7]⁻²=
(-√3)⁻²:[(12√11+4)/7]⁻²=
1/(√3)²:1/[(12√11+4)/7]²=
1/3·(12√11+4)²/49=(12·12·11+48·2√11+16)/49·3=(1600+96√11)/147
√16/3=√16/√3=4/√3=4√3/3
√49/3=√49/√3=7/√3=7√3/3
7/(√11-2)=7(√11+2)/(11-4)=7(√11+2)/7=√11+2
5/(2+√11)=5(2-√11)/(4-11)=-5(√11-2)/-7=5(√11-2)/7
(4√3/3-7√3/3)⁻²:[√11+2+(5√11-10)/7]⁻²=
(-3√3/3)⁻²:[(7√11+14+5√11-10)/7]⁻²=
(-√3)⁻²:[(12√11+4)/7]⁻²=
1/(√3)²:1/[(12√11+4)/7]²=
1/3·(12√11+4)²/49=(12·12·11+48·2√11+16)/49·3=(1600+96√11)/147