Math - Radicals

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How do you solve 7√3 + √3? I really need help.

  • Math - Radicals -

    7 apples + an apple = 8 apples
    7x + x = 8x
    7√3 + √3 = 8√3

  • Math - Radicals -

    imagine there's a "1" in front of √3, making it 1√3

    so,just as 7x + 1x = (7+1)x = 8x

    7√3 + 1√3 = 8√3

  • Math - Radicals -

    Ohhh, Thank You!!!! :D

  • Math - Radicals -

    But what if the numbers aren't the same as 2√8 - 3√2? Do you make them equivalent?

  • Math - Radicals -

    Sometimes you can

    √8 = 2√2 so
    2√8-3√2 = 4√2-3√2 = √2

    But if you have something like

    2√5 + 4√7 you're out of luck

  • Math - Radicals -

    That's what I don't get. How can √8 be equal to 2√2?

  • Math - Radicals -

    My calculator tells me they are the same.

  • Math - Radicals -

    √(ab) = √a√b
    √8 = √(4*2) = √4√2 = 2√2

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