Which choice is equivalent to the quotient shown here for acceptable values of x?

Equivalent expressions are expressions that have equal values
The equivalent expression of [tex]\sqrt{8x^2 } \div \sqrt{3x}[/tex] is [tex]\sqrt{\frac{8x}{3}}[/tex]
The expression is given as:
[tex]\sqrt{8x^2 } \div \sqrt{3x}[/tex]
Represent the expression as a quotient
[tex]\sqrt{8x^2 } \div \sqrt{3x} = \sqrt{\frac{8x^2}{3x}}[/tex]
Evaluate the quotient
[tex]\sqrt{8x^2 } \div \sqrt{3x} = \sqrt{\frac{8x}{3}}[/tex]
Hence, the equivalent expression of [tex]\sqrt{8x^2 } \div \sqrt{3x}[/tex] is [tex]\sqrt{\frac{8x}{3}}[/tex]
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