Square root of a quotient

🏆Practice root of a quotient

Root of a quotient

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:


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Test yourself on root of a quotient!


Solve the following exercise:

\( \sqrt{\frac{2}{4}}= \)

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Let's look at this in the example

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:

10×8=8010\times 8=80

If you are interested in this article, you might also be interested in the following articles:

Laws of Radicals

The Root of a Product


Combining Powers and Roots

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