How to multiply radical expressions with different index?

If you want to multiply radical expressions with different index, use the following two operations: you can either distribute the power of the index over the radical sign to the radical, or you can multiply the radical by the index. To distribute the power of the index over the radical sign, use the exponent property of radical expressions with exponent.

How to simplify radical expression with different indices?

There are a few tricks that can be used to simplify radical expressions with different indices. If the denominator is a perfect square, you can factor it out. If the numerator is a perfect square, you can factor it out. If neither of these conditions is true, you can use the square root identity to simplify the radical.

How to multiply a radical expression with different indices?

The square root symbol is used to raise a number to the power of one-half. A radical expression with different indices can be multiplied by the square root symbol.

How to calculate a radical expression with indices?

In the first case, the second index is the exponent of the radical, and the first index is the radical itself. For instance, if you have a radical raised to the fifth power, the exponent is 5, and the radical is your variable. If you have two radicals multiplied, you need to use your calculator to enter the exponents.

How to multiply radical expressions with different indices?

To multiply two radical expressions with different indices, you need to first flip the index of one of the two radicands to match the index of the other. We describe the process in detail in this section. If you want to learn how to solve radical equations with different index, we recommend “How to solve radical equations”.