Question

Please help due today and ignore the answer i put i misclicked.20 points

Answer 1

Answer:

$3\sqrt{2}$/2

Step-by-step explanation:

first we take the square root of the top and bottom:

$\frac{\sqrt{72} }{\sqrt{16} }$

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 $\sqrt{72} =\sqrt{8} *\sqrt{9}$

We know that the square root of 9 is 3, so now we have

$\frac{3\sqrt{8} }{4}$

We're almost done!

Since 8= 2*4, and the square root of 4 is 2,

$\frac{3*2*\sqrt{2}}{4}$

last, we simplify and get

$\frac{3\sqrt{2}}{2}$