For this case we have to define root properties:
![\sqrt [n] {a ^ n} = a ^ {\frac {n} {n}} = a](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20n%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bn%7D%20%7Bn%7D%7D%20%3D%20a)
In addition, we know that:

On the other hand:

Thus, we can rewrite the given expression as:

ANswer:
Option B
Hey there!
We can solve this problem by doing PEMDAS, which lists:

We have in this equation

Let's sp;ve this equation now!
Parentheses ↓

Exponents ↓

Division ↓

Okay now , I show you the steps so it can be easier to solve!

Good luck on your assignment and enjoy your day!
~
Answer:
x = <u>16</u> units
Step-by-step explanation:
∆ABC is a 45-45-90 triangle, and ∆BCD is a 30-60-90 triangle.
If side opposite of 90° [∆] = x, side opposite of 45° [∆] = x / √2 = x √ 2 / 2.
Given side AC is opposite of 90° [∆ABC] = 32 √ 2, side opposite of 45° [∆ABC] = 32 √ 2 / √ 2 = 32 which is AB or BC.
Since side BC is part of BCD.
Side opposite of 90° [∆BCD] = BC = 32.
Since x is opposite of 30° [∆BCD].
x = Side opposite of 90° [∆BCD] / 2 = 32 / 2 = 16.
Answer:
its the third answer, fifth, and first. Im not sure tho.
Step-by-step explanation:
if it isnt right im so sorry T^T