Question 401442
{{{4sqrt(7)-2sqrt(7)+4sqrt(7)}}}
Like radical terms are terms where the radical(s) all have the same index and radicand. ("radicand" is the expression inside a radical.) All of your terms are square roots (whose implied index is 2) so the indices are the same. And the radicands are all 7's. So all these terms are like radical terms.<br>
To add or subtract like radical terms you just add or subtract the coefficients. It is <i>just like adding/subtracting variable terms!</i> So adding/subtracting
{{{4sqrt(7)-2sqrt(7)+4sqrt(7)}}}
is just like adding/subtracting
4x - 2x + 4x
So just like
4x - 2x + 4x = 6x
{{{4sqrt(7)-2sqrt(7)+4sqrt(7) = 6sqrt(7)}}}
Note then when adding/subtracting radical terms, <i>nothing</i> changes with the radicals. Only the coefficient get added/subtracted.