Simplify(i) 4+54-5+4-54+5(ii) 13+2-25-3-32-5(iii) 2+32-3+2-32+3+3-13+1(iv) 262+3+626+3-836+2

Simplify(i) 4+54-5+4-54+5(ii) 13+2-25-3-32-5(iii) 2+32-3+2-32+3+3-13+1

1.	Simplify(i) 4+54-5+4-54+5(ii) 13+2-25-3-32-5(iii) 2+32-3+2-32+3+3-13+1(iv) 262+3+626+3-836+2
Answer» Simplify (i) $\frac{4 + \sqrt{5}}{4 - \sqrt{5}} + \frac{4 - \sqrt{5}}{4 + \sqrt{5}}$ (ii) $\frac{1}{\sqrt{3} + \sqrt{2}} - \frac{2}{\sqrt{5} - \sqrt{3}} - \frac{3}{\sqrt{2} - \sqrt{5}}$ (iii) $\frac{2 + \sqrt{3}}{2 - \sqrt{3}} + \frac{2 - \sqrt{3}}{2 + \sqrt{3}} + \frac{\sqrt{3} - 1}{\sqrt{3} + 1}$ (iv) $\frac{2 \sqrt{6}}{\sqrt{2} + \sqrt{3}} + \frac{6 \sqrt{2}}{\sqrt{6} + \sqrt{3}} - \frac{8 \sqrt{3}}{\sqrt{6} + \sqrt{2}}$