AnvithaA65484 AnvithaA65484
  • 03-11-2022
  • Mathematics
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please help me solve. blank I have 9 and blank 2 I have 5. blank 2 is correct but not blank 1.

please help me solve blank I have 9 and blank 2 I have 5 blank 2 is correct but not blank 1 class=

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WryleeG763370 WryleeG763370
  • 03-11-2022

We have that

[tex]\begin{gathered} 3\cdot\sqrt[]{45}=3\cdot(\sqrt[]{9\cdot5}) \\ =\text{ 3(}\sqrt[]{9}\cdot\sqrt[]{5}\text{)} \\ =\text{ 3(3 }\cdot\sqrt[]{5}) \\ =9\cdot\sqrt[]{5} \end{gathered}[/tex]

So the answer is

[tex]9\cdot\sqrt[]{5}[/tex]

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