Plz help #30 plz explain

Question

3 years ago

9

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">

Mathematics

2 answers:

Charra [1.4K] · Answer 1 · 2022-02-02T17:53:57+03:00

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.

Lina20 [59] · Answer 2 · 2022-02-02T20:06:23+03:00

Lina20 [59]3 years ago

4 0

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