Answer:
[tex]=3/4[/tex]
Step-by-step explanation:
[tex]\frac{4\sqrt{18}}{16\sqrt{2}}[/tex]
First, simplify the fraction:
[tex]=\frac{\sqrt{18}}{4\sqrt2}[/tex]
Now, simplify the radical in the numerator (the radical in the denominator cannot be simplified:
[tex]\sqrt{18}=\sqrt{9\cdot2}=\sqrt{9}\cdot\sqrt{2}=3\sqrt{2}[/tex]
Substitute:
[tex]=\frac{3\sqrt{2}}{4\sqrt{2}}[/tex]
The radicals cancel:
[tex]=3/4[/tex]
