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:
Choose the expression that is equal to the following:
\( \sqrt{a}:\sqrt{b} \)
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:
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Solve the following exercise:
Let's simplify the expression. First, we'll reduce the fraction under the square root, then we'll calculate the result of the root:
Therefore, the correct answer is option B.
3
Choose the expression that is equal to the following:
Complete the following exercise:
Solve the following exercise:
Solve the following exercise:
Complete the following exercise:
\( \sqrt{\frac{1}{36}}= \)
Solve the following exercise:
\( \frac{\sqrt{36}}{\sqrt{9}}= \)
Solve the following exercise:
\( \sqrt{\frac{2}{4}}= \)
