Question

Which choice is equivalent to the quotient shown here for acceptable

Answer 1

The equivalent to the quotient shown in the task content for acceptable values of x is; √(5/(x-1)).

What is the equivalent of the quotient?

It follows from the task content that the expression given is; √(25(x-1)) ÷ √(5(x-1)²).

It therefore follows from the the laws of indices that the evaluation is thus;

= √{(25/5) ×(x-1)/(x-1)²}.

Ultimately, upon evaluation we have;

= √(5/(x-1))

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