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How to simplify
the square root of 45 plus 4 square root 5

  • algebra - ,

    first note that we can't combine radicals if the radicands (term inside a radical sign) are not equal.
    notice that we can further simplify squareroot of 45 as
    sqrt(45) = sqrt(3*3*5) = sqrt(3^2 * 5) = 3*sqrt(5)
    now, we can combine them:
    3*sqrt(5) + 4*sqrt(5)

    hope this helps~ :)

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