Multiplying radicals with different index?

If you want to multiply two radical expressions with different index, you can use fraction multiplication. Let’s say you want to multiply where is the first radical and is the second. The result is Multiply each radical by its index, so your first step is to write and then multiply both sides by That gives you

How to multiply radicals with the same index?

You usually do not need to do any special work to simplify the radical expressions in basic algebra problems. If the two radicals have the same index, you can simply take the product of the two roots. The roots of a quadratic equation are the solutions to the equation’s radical expression. Look at the example below to see how to multiply radicals with the same index.

How to multiply radicals with the same exponent?

If the numerator and denominator have the same exponent, then you can solve the problem by multiplying both the numerator and denominator by the least common denominator of the exponent. In other words, if there are two variables with the exponent, say, 4, then you can multiply the two variables by to make the exponent 2.

How to multiply radical with an exponent with different index?

You can also multiply radicals with different index using the exponent button with a line underneath it. If you have a radical on top and a radical with a different index underneath it, you need to set up the exponent for the top radical, before you can use the button. If you just click the button without setting up the exponent first, you will get an error message.

What is the number of multiset of roots?

To find the number of roots of a polynomial, use the fact that the roots of the polynomial can be found by taking the roots of each term and multiplying them together. If you have a radical involving two different roots, then multiply the two roots together first before multiplying the results. You can do this because radical exponentiation is associative.