What to do if there is a root in the denominator?

What to do if there is a root in the denominator?

When we have a fraction with a root in the denominator, like 1/√2, it’s often desirable to manipulate it so the denominator doesn’t have roots. To do that, we can multiply both the numerator and the denominator by the same root, that will get rid of the root in the denominator.

How do you simplify the denominator with roots?

So, in order to rationalize the denominator, we need to get rid of all radicals that are in the denominator.

1. Step 1: Multiply numerator and denominator by a radical that will get rid of the radical in the denominator.
2. Step 2: Make sure all radicals are simplified.
3. Step 3: Simplify the fraction if needed.

How do you rationalize a square root in the denominator?

Instead, follow these steps:

1. Multiply the numerator and the denominator by the same square root. Whatever you multiply to the bottom of a fraction, you must multiply to the top; this way, it’s really like you multiplied by one and you didn’t change the fraction.
2. Multiply the tops and multiply the bottoms and simplify.

What is the fourth roots of 16?

So, the Fourth Root of 16 is 2.

What is the zero rule?

The zero exponent rule is one of the rules that will help you simplify exponents. The zero exponent rule basically says that any base with an exponent of zero is equal to one. For example: x^0 = 1.

What is the point of rationalizing the denominator?

We rationalize the denominator to ensure that it becomes easier to perform any calculation on the rational number. When we rationalize the denominator in a fraction, then we are eliminating any radical expressions such as square roots and cube roots from the denominator.

What are two of the 4th roots of 16?

Here 2 is called the Fourth Root of 16. 16 is the number. So, the Fourth Root of 16 is 2.