Multiplying radicals with different index and radical?

The radical with the lower index is called the numerator and the radical with the highest index is called the denominator. These two radicals are multiplied and the product is called a mixed radical.

Multiplying radical with different indexes and radical?

You are asked to multiply two radicals whose index and radical are different. There are two methods to do this, depending on whether you are working in standard form or in the reverse form.

Multiplying radicals with different index and radical?

If you have two radicals, one with an index of 6 and the other with an index of 7, and you want to find a product of the two, you would add the exponent of the index of the second radical, which is 7, to the exponent of the first radical, which is 6. The sum of the exponents is now 13. You would then add the exponent of the index of the first radical, which is 6, to the exponent of the first radical, which is 6

Simplifying radicals with different indices and radicals?

Sometimes, it is easier to simplify a radical with a different index that has the same radical. If you’re wondering how to simplify a radical with different indices, here are a few examples:

Simplifying radicals with different indices and different radicals?

Sometimes we need to find a way to simplify radicals with different index and different radical. Sometimes that involves canceling like terms to get a common denominator or multiplying by the conjugate. Other times it may involve using the identity