Rationalise the denominators of each of the following: (i) 3√5 (ii)

1.	Rationalise the denominators of each of the following: (i) 3√5 (ii) 32√5 (iii) 1√12 (iv) √2√5 (v) √3+1√2 (vi) √2+√5√3 (vii) 3√2√5
Answer» Rationalise the denominators of each of the following: (i) $\frac{3}{\sqrt{5}}$ (ii) $\frac{3}{2 \sqrt{5}}$ (iii) $\frac{1}{\sqrt{12}}$ (iv) $\frac{\sqrt{2}}{\sqrt{5}}$ (v) $\frac{\sqrt{3} + 1}{\sqrt{2}}$ (vi) $\frac{\sqrt{2} + \sqrt{5}}{\sqrt{3}}$ (vii) $\frac{3 \sqrt{2}}{\sqrt{5}}$

Rationalise the denominators of each of the following: (i) 3√5 (ii) 32√5 (iii) 1√12 (iv) √2√5 (v) √3+1√2 (vi) √2+√5√3 (vii) 3√2√5

Answer»

Rationalise the denominators of each of the following:

(i) $\frac{3}{\sqrt{5}}$

(ii) $\frac{3}{2 \sqrt{5}}$

(iii) $\frac{1}{\sqrt{12}}$

(iv) $\frac{\sqrt{2}}{\sqrt{5}}$

(v) $\frac{\sqrt{3} + 1}{\sqrt{2}}$

(vi) $\frac{\sqrt{2} + \sqrt{5}}{\sqrt{3}}$

(vii) $\frac{3 \sqrt{2}}{\sqrt{5}}$