Question 422659
{{{7root(3, 6)- 2root(3, 6)}}}
As the problem says, only like radicals can be added or subtracted. Like radicals have the same index and the same radicand. (The expression inside a radical is called the radicand.)<br>
Your radicals have the same indices ("indexes"), 3, and the same radicand, 6. So we can subtract them.<br>
Now that we know that we can subtract we have to know how to subtract these terms. It can help to picture the radicals as a variable because subtractions (or additions) with variables is just like subration (or addition) with radical terms.
So <n><i>exactly</i></b> like 7x - 2x = 5x...
{{{7root(3, 6)- 2root(3, 6) = 5root(3, 6)}}}