How to multiply radicals with different bases?
If you are multiplying two radical expressions that use different bases, then you will need to do a little more work. The first thing you need to do is find a way to write each base in terms of the standard base. One way to do this is to use the exponentiation property of radicals If you write an expression in terms of radical n, and then raise it to the exponent of the base b, you will get a radical with base b raised to that exponent. For example, if
How to solve radicals with different bases?
If you are asked to solve a radical with two different bases, you will need to convert one of the bases to a common denominator. You can convert between different base systems using the following formulas:
How to multiply radicals by bigger denominators?
If you have two denominators in your radical, you can use the denominator of the smaller radical as the numerator of the larger one. You can also first multiply both denominators by their reciprocals and then perform your long division.
How to solve radicals with a bigger base?
You can also solve radical equations with a bigger denominator, like
How to solve radicals with a big base?
When solving radicals with a base of 10, you first need to write your radical in standard form by multiplying the top and bottom by the conjugate of your denominator. This is the number you would need to add to every term in the numerator to make the denominator add up to 10. For example, if you have a radical with the denominator 10, you would write it as