Simplify

[bobisaka]

√(48x5/100)

(√16x4√3x)/√100

((4x2)2√3x)/10 <===== 4x4=16 > (x2) x 2= x4

Unsure how to further simplify it to correct answer which is: (2x2√3x)/5

I get that it has simplified by dividing by 2, but when it comes to the numerator and its variable exponent, i get confused.
How do we half (4x2)2 to get the numerator of 2x2.


Apologise if it is not clearly written or incorrect. Unsure what application you guys use or code to write down the equations correctly.

 

[bobisaka]

((4)2 * (x2)2 √3)/10

(((4)2/2) * ((x2)2/2) √3)/(10/2)

((2) * (x2)√3)/5

Is this correct?

 

[Deleted member 4993]

√(48x5/100)

(√16x4√3x)/√100

((4x2)2√3x)/10 <===== 4x4=16 > (x2) x 2= x4

Unsure how to further simplify it to correct answer which is: (2x2√3x)/5

I get that it has simplified by dividing by 2, but when it comes to the numerator and its variable exponent, i get confused.
How do we half (4x2)2 to get the numerator of 2x2.


Apologise if it is not clearly written or incorrect. Unsure what application you guys use or code to write down the equations correctly.

To indicate power in ASCII symbols - you should write ^ . So your problem that you wrote as √(48x5/100), should be written as:

√(48 x^5/100) → reduced to → √[(2^4 * 3 * x^4 * x)/(10^2)] = [(2^2 * x^2)/10] *[√(3 * x)] = [(2 * x^2)/5] * [√(3 * x)]