Which choice is equivalent to the quotient shown here for acceptable values of X?
√7x² ÷ √3x

A x(√7x/3)
B √21x³
C (√7x/3)
D (√7x³/3)

Respuesta :

The choice that is equivalent to the quotient values of X in √7x² ÷ √3x is Option C : (√7x/3).

What is the quotient about?

Since the expression is √7x² ÷ √3x

So, one need to  rationalize the denominator and thus:

√7x² ÷ √3x  x √3x  ÷ √3x  

or write as √7x² x√3x ÷ √3x

or write as√(21x³)/3x

or write as √3*7*x³/3x

or write as √3*7*x/3

= √7x/√3

Therefore, The choice that is equivalent to the quotient values of X in √7x² ÷ √3x is Option C : (√7x/3).

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