When we find a root that is in the complete quotient (in the complete fraction), we can break down the factors of the quotient: the numerator and the denominator and leave the root separated for each of them. We will not forget to leave the division symbol: the dividing line between the factors we separate.
Let's put it this way:
Solve the following exercise:
\( \sqrt{\frac{2}{4}}= \)
According to the quotient root rule, we can break down the factors and leave the root of each factor separately while maintaining the multiplication operation between them:
We will break it down and obtain:
If you are interested in this article, you might also be interested in the following articles:
Laws of Radicals
The Root of a Product
Radication
Combining Powers and Roots
In the blog of Tutorela you will find a variety of articles about mathematics.
Complete the following exercise:
\( \sqrt{\frac{1}{36}}= \)
Solve the following exercise:
\( \frac{\sqrt{36}}{\sqrt{9}}= \)
Choose the expression that is equal to the following:
\( \sqrt{a}:\sqrt{b} \)
