In each of the following determine rational numbers a and b:(i) 3-13+1=a-b3(ii) 4+22+2=n-b(iii) 3+23-2=a+b2(iv) 5+337+43=a+b3(v) 11-711+7=a-b77(vi) 4+354-35=a+b5

In each of the following determine rational numbers a and b:(i) 3-13+1

1.	In each of the following determine rational numbers a and b:(i) 3-13+1=a-b3(ii) 4+22+2=n-b(iii) 3+23-2=a+b2(iv) 5+337+43=a+b3(v) 11-711+7=a-b77(vi) 4+354-35=a+b5
Answer» In each of the following determine rational numbers a and b: (i) $\frac{\sqrt{3} - 1}{\sqrt{3} + 1} = a - b \sqrt{3}$ (ii) $\frac{4 + \sqrt{2}}{2 + \sqrt{2}} = n - \sqrt{b}$ (iii) $\frac{3 + \sqrt{2}}{3 - \sqrt{2}} = a + b \sqrt{2}$ (iv) $\frac{5 + 3 \sqrt{3}}{7 + 4 \sqrt{3}} = a + b \sqrt{3}$ (v) $\frac{\sqrt{11} - \sqrt{7}}{\sqrt{11} + \sqrt{7}} = a - b \sqrt{77}$ (vi) $\frac{4 + 3 \sqrt{5}}{4 - 3 \sqrt{5}} = a + b \sqrt{5}$