Question:

Simplify this. √7+3√7?

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I need help on my summer math packet i still dont understand how to simplify this.

√7+3√7

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  1. sqrt(7) +3sqrt(7)= (1+3)sqrt(7)=4sqrt(7)


  2. Okay, so set √7=a (thats a^2=7 for a>0) to make the expression:

    a+3a=a(1+3)=a(4)=4a

    Now, input a=√7 to get:

    4a=4√7

    Peace

  3. You know that x + 3x = 4x.  The same principle applies when it comes to adding up multiples of the same radical.  So it's:

    4√7

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