last week, I have get to know more about square roots. One of the skills that we learned is turning mixed radical to entire radical. In order to do this, we need to take the integer number in front of the root sign, which is called the index, and put it under a root sign. In other words, we replace the integer with a radical. Thus, we will end up with two radicals that need to be multiplied. We multiply the two numbers under the roots and place the product under a root sign.
Writing mixed radicals as entire radicals is useful in that in allows us to more easily to determine which radical in a set is largest. As long as the radicals have the same index, then they can be compared by comparing the radicands.
Also, I have learned to deal with a negative exponent. It means to divide by that number of factors instead of multiplying. So 4−3 is the same as 1/(43), and x−3 = 1/x3