The expression [tex]\sqrt{\frac{5}{x-1} }[/tex] is equivalent to the given quotient.
Option A is correct.
When we divide one number by another, the result is a quotient. Although a quotient can be greater than the divisor, it will never be greater than the dividend.
In mathematics, the outcome of dividing a number by any divisor is known as the quotient. It refers to how many times the dividend contains the divisor.
After the division has been done, the quotient is obtained. This signifies that the quotient is the result of dividing a dividend by a divisor.
According to the question,
[tex]\sqrt{25(x-1)}[/tex] ÷ [tex]\sqrt{5(x-1)^{2} }[/tex] = 5[tex]\sqrt{x-1}[/tex] ÷ (x-1)[tex]\sqrt{5}[/tex]
= [tex]\sqrt{\frac{5}{x-1} }[/tex]
Learn more about quotient here:
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