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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!

Simplify.

4√27 + 6√75

PLEASE HELP ASAP CORRECT ANSWER ONLY PLEASE Simplify 427 675 class=

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Annolix

To answer this, you will first need to simply the expressions.

[tex]4\sqrt{27} = 12\sqrt{3}[/tex]

[tex]6\sqrt{75} = 30\sqrt{3}[/tex]

Now with the expressions simplified, you'll add the two together getting [tex]42\sqrt{3}[/tex]


GoddessofDork
  • Product rule of radicals: √ab = √a × √b

So firstly, we have to simplify the radicals. Using the product rule of radicals, simplify these radicals as such:

4√27 = 4 × √9 × √3 = 4 × 3 × √3 = 12√3

6√75 = 6 × √5 × √15 = 6 × √5 × √5 × √3 = 6 × 5 × √3 = 30√3

Now, add these two simplified radicals as such:

12√3 + 30√3 = 42√3

42√3 is your final answer.

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