Question

6^2-4(3-√25)^2/|4-8|

the answer is 5 but im not sure on the steps and how to get 5, please help tysm :)

Answer 1

I'm going to assume you start with

`(6^2 - 4 (3 - √(25))^2)/(|4 - 8|)`

Let's simplify some pieces of this:

`6^2 = 6*6 = 36`

`√(25) = √(5^2) = 5`

`(3 - √(25))^2 = (3 - 5)^2 = (-2)^2 = (-2)*(-2) = 4`

`|4 - 8| = |-4| = 4`

So as a first step we can reduce this to

`(6^2 - 4 (3 - √(25))^2)/(|4 - 8|) = \frac{36-4*4}4`

Now,

`36 = 9*4`

so every term contains a factor of 4 that we can cancel:

`\frac{36-4*4}4 = \frac{9*4-4*4}4 = \frac{9-4}1 = 9-4 = \boxed{5}`

as expected.