Question

Simplify the quotient.

Answer 1

\[\frac{ 16 }{ \sqrt{24} }\]

Answer 2

\[\frac{ 4\sqrt{6} }{ 3 }\]

Answer 3

\(\bf \cfrac{ 16 }{ \sqrt{24} }\cdot \cfrac{ \sqrt{24} }{ \sqrt{24} }\implies \cfrac{ 16\sqrt{24} }{ (\sqrt{24})^2 }\implies \cfrac{ 16\sqrt{24} }{ 24 }
\\ \quad \\
{\color{brown}{ 24\to 2\cdot 2\cdot 2\cdot 3\to 2^2\cdot 2\cdot 3}}\qquad thus
\\ \quad \\
\cfrac{ 16\sqrt{{\color{brown}{ 2^2\cdot 2\cdot 3}}} }{ 24 }\implies \cfrac{16\cdot 2\sqrt{2\cdot 3}}{24}\implies \cfrac{\cancel{ 32 }\sqrt{6}}{\cancel{ 24 }}\)

Answer 4

@jdoe0001 Why would the 32 and 24 cancel each other out?

Answer 5

well... they don't... they "simplify"

Answer 6

Into what?

Answer 7

\(\bf \cfrac{\cancel{ 32 }}{\cancel{ 24 }}=?\) <--- try dividing both by 8