Question

Can someone help me out please? Thanks! Please explain 'cause I have more that I want to do on my own :)

Answer 1

`4sqrt5`

Explanation:

I can't really see the text so I just assumed it was `(4sqrt400)/(4sqrt5)`.

The first thing I will do is to cancel the `4` because `4/4=1` and the `4` is unnecessary so the equation would be `sqrt400/sqrt5`.
Let's focus on the top part which is `sqrt400`.

`sqrt400` is the same as `sqrt(2^4*5^2)` which is the same as `sqrt2^4sqrt5^2`.

`sqrt(2^4)` is the same as `2 4/2` and the same as `2^2`.

`sqrt` and `x^y` are opposites so `sqrt(5^2)` is equal to `5`.

So the numerator would be `2^2*5`. The whole equation would be `(2^2*5)/sqrt5` or `2^2sqrt5`. `2^2=4` so the equation would be `4sqrt5`. (Simplified)

Answer 2

Assumption: the question reads as `root(4)(400)/root(4)(5)`

`2root(4)(5)`

Explanation:

Look for values raised to the power of 4

This gives:

`root(4)(2^4xx5^2)/root(4)(5)`

`2xxroot(4)(5^2)/root(4)(5)`

`2xxroot(4)(5^2/5)`

`2root(4)(5)`

Answer 3

`2root(4)(5)`

Explanation:

`(root(4)(400))/(root(4)(5))=root(4)(400/5)=root(4)(80)`

`root(4)(80)=root(4)(16xx5)`

`color(white)(xxx)=root(4)(16)xxroot(4)(5)`

`color(white)(xxx)=2root(4)(5)`