Question

4 square root 2 -2 square root 8 + 3 upon square root 2 in simplified form is

Answer 1

Solution :

$\large \implies \sf4 \sqrt{2} - 2 \sqrt{8} + \frac{3}{ \sqrt{2} } \\ \\\large \implies \sf \frac{4 \sqrt{4} - 2 \sqrt{16} + 3 }{ \sqrt{2}} \\ \\ \large\implies \sf \frac{8 - 8 + 3}{ \sqrt{2} } \\ \\ \large \implies \sf\frac{3}{ \sqrt{2} }$

By rationalising

$\large\sf \implies\frac{3}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } \\ \\\large \implies \sf \frac{3 \sqrt{2} }{\sqrt{4}} \\ \\ \large\implies \sf \frac{3 \sqrt{2} }{2}$