Question

Can you please help me because I don’t understand this and I would like to really understand it

Answer 1

Step-by-step explanation:

Given the expression:

`√(12(x-1))/\sqrt{2(x-1)^(2)}`

By the division law of surds:

`\sqrt[]{x}/\sqrt[]{y}=\sqrt[]{(x)/(y)}`

Therefore:

`\sqrt[]{12(x-1)}/\sqrt[]{2(x-1)^2}=\sqrt[]{(12(x-1))/(2(x-1)^2)}`

The result obtained can be rewritten in the form below:

`=\sqrt[]{\frac{2*6(x-1)}{2(x-1)(x-1)^{}}}`

Canceling out the common factors, we have:

`=\sqrt[]{\frac{6}{(x-1)^{}}}`

An equivalent expression is Opt