Question

\(\sqrt{72}+\sqrt{4\frac{1}{2}}\)

Answer 1

\(\sqrt{72}+\sqrt{4\frac{1}{2}}\)= \(\sqrt{72}+\sqrt{\frac{9}{2}}\)=\(\sqrt{72}+\frac{\sqrt{9}}{\sqrt{2}}\)=\(\sqrt{72}+\frac{3}{\sqrt{2}}\)

= \(\sqrt{36.2}+\frac{3}{\sqrt{2}}\)= \(6\sqrt{2}+\frac{3}{\sqrt{2}}\)=\(\frac{6.\left(\sqrt{2}\right)^2}{\sqrt{2}}+\frac{3}{\sqrt{2}}\)

= \(\frac{15}{\sqrt{2}}\)

Answer 2

\(\sqrt{72}+\sqrt{4\frac{1}{2}}\)

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

\(=\left(6+\frac{3}{2}\right)\sqrt{2}\)

\(=\frac{15}{2}\sqrt{2}\)