因此，我们知道如何乘平方根在一起的时候，我们有同样的指数，同样的根，我们正在处理。我们不知道的是如何将它们相乘，当我们有一个不同的根。所以这就是我们接下来要做的事情说说现在。
因此，如果我们有3倍的5平方根他们都平方根的平方根，我们就可以将我们的条款，我们与平方根15.好结了？这是很容易做到。当我们的根基是不同的我们真的不知道该如何处理是。因此，我在这里是一个立方根和平方根，好吗？正如我们不能结合这些，因为我们所面对的不同的根源。但操纵这些，使他们能够结合的方式。怎么我总是这样做是重写我的根为指数，好吗？所以，把它变成2到三分之一时间3到一半。好的。请记住，当我们正在处理的指数的分数权力根源。 In order to multiply our radicals together, our roots need to be the same. So we somehow need to manipulate these 2 roots, the 3 and the squared, the 3 and the 2 to be the same root, okay? So think about what our least common multiple is. 2 and 3, 6. Okay? So we want to rewrite these powers both with a root with a denominator of 6. So 6, 2 you get a 6. We just need to multiply that by 2 over 2, so we end up with 2 over 6 and then 3, need to make one half with the denominator 6 so that's just becomes 3 over 6. Okay. So what we really have right now then is the sixth root of 2 squared times the sixth root of 3 to the third. Okay? So we didn't change our problem at all but we just changed our exponent to be a little but bigger fraction. That's perfectly fine. And now we have the same roots, so we can multiply leaving us with the sixth root of 2 squared times 3 cubed. Okay. Often times these numbers are going to be pretty ugly and pretty big, so you sometimes will be able to just leave it like this. 2 squared and 3 cubed aren't that big of numbers. 2 squared is 4, 3 squared is 27, 4 times 27 is I believe 108. So this becomes the sixth root of 108.
只是一个小侧面说明，你不必从你的分数指数重写它的自由基去。它很多时候，它可以帮助人们看到什么，他们有这么看，你有，你可以乘同根，但如果你舒服，你可以距离这一步走一直到这里。这是完全正常的。
所以每当你被乘以不同的指标，不同的根自由基，你总是需要让你的根做同样的，你做的只是改变你的分数是[IB]共同点。
