Question

Plz help #30 plz explain exFormula1" title=" \sqrt{200 {x}^2 {y}^2 {z}^2" alt=" \sqrt{200 {x}^2 {y}^2 {z}^2" align="absmiddle" class="latex-formula">

Answer 1

For number 30, its easier if its broken down so were going to make it √200*x^2*y^2*z^2. We can't get a square root of 200 so we will break it into 100*2 to get √2*100*x^2*y^2*z^2. Now let's look at what we can take the square roots of. 2 doesn't have a nice sq. rt. so we will leave it there. 100 has the rt. of 10 so we can make 10√2*x^2*y^2*z^2. X^2 has the root x and we can follow this with the other variables to get 10xyz√2. There is your final simplified answer.

Answer 2

Roots have a property which allows for separation of terms based on wether they are being multiplies:
100*2*x^2...
10xyz * \/2