Express each one of the following with rational denominator:(i) 13+2(ii) 16-5(iii) 1641-5(iv) 3053-35(v) 125-3(vi) 3+122-3(vii) 6-426+42(viii) 32+125-3(ix) b2a2+b2+a

Express each one of the following with rational denominator:(i) 13+2(i

1.	Express each one of the following with rational denominator:(i) 13+2(ii) 16-5(iii) 1641-5(iv) 3053-35(v) 125-3(vi) 3+122-3(vii) 6-426+42(viii) 32+125-3(ix) b2a2+b2+a
Answer» Express each one of the following with rational denominator: (i) $\frac{1}{3 + \sqrt{2}}$ (ii) $\frac{1}{\sqrt{6} - \sqrt{5}}$ (iii) $\frac{16}{\sqrt{41} - 5}$ (iv) $\frac{30}{5 \sqrt{3} - 3 \sqrt{5}}$ (v) $\frac{1}{2 \sqrt{5} - \sqrt{3}}$ (vi) $\frac{\sqrt{3} + 1}{2 \sqrt{2} - \sqrt{3}}$ (vii) $\frac{6 - 4 \sqrt{2}}{6 + 4 \sqrt{2}}$ (viii) $\frac{3 \sqrt{2} + 1}{2 \sqrt{5} - 3}$ (ix) $\frac{b^{2}}{\sqrt{a^{2} + b^{2}} + a}$