mfoster4
mfoster4 mfoster4
  • 27-04-2021
  • Mathematics
contestada

Which choice is equivalent to the quotient below shown here when x>0?

Which choice is equivalent to the quotient below shown here when xgt0 class=

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clarch19
clarch19 clarch19
  • 27-04-2021

Answer:

B

Step-by-step explanation:

step 1 - rationalize the denominator to get:

[tex]\sqrt{35x^5}[/tex] ÷ [tex]\sqrt{7x^3}[/tex]  =  ([tex]\sqrt{245}[/tex] ·x^5/2·x^3/2) ÷ 7x³

= ([tex]\sqrt{5}[/tex][tex]\sqrt{7}[/tex][tex]\sqrt{7}[/tex]·x^4) ÷ 7x³

= 7[tex]\sqrt{5}[/tex]·x^4 ÷ 7x³

= [tex]\sqrt{5}[/tex]x

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