Question

360/(2√10)^2

Answer 1

$\frac{360}{(2\sqrt{10})^{2}}= \frac{360}{4*10}=9$

Answer 2

To solve this expression, follow the order of operations (PEMDAS):

1. Perform the operations inside the parentheses first.
2. Calculate the square of the expression inside the parentheses.
3. Divide 360 by the squared result.

Let's break it down step by step:

Step 1: Inside the parentheses, you have 2√10. To simplify the square root, remember that √10 is the same as 10^(1/2).

2√10 = 2 * 10^(1/2)

Step 2: Now, square the expression inside the parentheses:

(2 * 10^(1/2))^2 = (2^2) * (10^(1/2))^2 = 4 * 10^(2/2) = 4 * 10^1 = 40

Step 3: Finally, divide 360 by the squared result:

360 / 40 = 9

So, 360/(2√10)^2 = 9.