Question

Which choice is equivalent to the quotient shown here for acceptable

values of X?
√7x²= √3x
A. √√73²
OB. √21x3
O C. √√
O A.
O D. x√
72

Answer 1

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).

Explanation: