Question 3

Find the value of $$\frac{6\sqrt{2}}{5\sqrt{3}}(\sqrt{2}+\sqrt{18})$$

Solution

Expression : $$\frac{6\sqrt{2}}{5\sqrt{3}}(\sqrt{2}+\sqrt{18})$$

= $$\frac{6\sqrt{2}}{5\sqrt{3}}(\sqrt{2}+3\sqrt{2})$$

= $$\frac{6\sqrt{2}}{5\sqrt{3}}(4\sqrt{2})$$

= $$\frac{48}{5\sqrt3}=\frac{16\times3}{5\sqrt3}$$

= $$\frac{16\sqrt{3}}{5}$$

=> Ans - (A)

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