Answer:
[tex]3\sqrt{2}[/tex]/2
Step-by-step explanation:
first we take the square root of the top and bottom:
[tex]\frac{\sqrt{72} }{\sqrt{16} }[/tex]
The denominator is 4. The numerator is harder to solve. To solve, we need to look at the factors of 72.
72= 8 * 9. This means that [tex]\sqrt{72} =\sqrt{8} *\sqrt{9} \\[/tex]
We know that the square root of 9 is 3, so now we have
[tex]\frac{3\sqrt{8} }{4}[/tex]
We're almost done!
Since 8= 2*4, and the square root of 4 is 2,
[tex]\frac{3*2*\sqrt{2}}{4}[/tex]
last, we simplify and get
[tex]\frac{3\sqrt{2}}{2}[/tex]
