Question

Adding Square Roots

Answer 1

\[\sqrt{27}+5\sqrt{48}\]

Answer 2

23\[\sqrt{3}

Answer 3

\[\sqrt{27}=5\sqrt{48}=\sqrt{3\times3\times3}+5\sqrt{2\times2\times2\times2\times3}=\sqrt{3^{2}\times3}+5\sqrt{4^{2 }\times3 } \]
\[=3\sqrt{3}+5\times 4\sqrt{3}=3\sqrt{3}+20\sqrt{3}=23\sqrt{3}\]