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

√7x^2 Divide √3x

A: x√7x/3
B: √7x^3/3
C: √7x/3
D: √21x^3

Respuesta :

Answer:

a might be the answer I am not sure though.

Step-by-step explanation:

The equivalent expression is: √7x/√3.

The correct option is (C)

What is expression?

An expression is a set of terms combined using the operations +, – , x or  /.

Given expression:

[tex]\sqrt{7x^{2} }[/tex]÷ [tex]\sqrt{3x}[/tex]

Now, rationalise the denominator

[tex]\sqrt{7x^{2} }[/tex]/ [tex]\sqrt{3x}[/tex]* [tex]\sqrt{3x}[/tex]÷ [tex]\sqrt{3x}[/tex]

or, [tex]\sqrt{7x^{2} }[/tex] *[tex]\sqrt{3x}[/tex]/  [tex]{3x}[/tex]

or, [tex]\sqrt{7x^{2}* 3x }[/tex] /3x

or, √(21x³)/3x

or, √3*7*x³/3x

or, √3*7*x/3

or, √7x/√3

Hence, [tex]\sqrt{7x^{2} }[/tex]÷ [tex]\sqrt{3x}[/tex]= √7x/√3

Learn more about expression here:

https://brainly.com/question/14083225

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