Concept explainers
The justification of the rule works.
Explanation of Solution
Given:
Rule for multiplying two radicals with the same radicand.
Calculation: The solution for the given statement:
Radicand as a product of two factors (here, thinking about 64 as the product of 16 and 4), take the square root of each factor and then multiply the roots.
The end result is the same.
Application of this rule when expanding expressions such as (ab)x to ax • bx; now amend it to include radicals as well.
Eg: The exponent x is not an integer but is a unit fraction.
According to the Product Raised to a Power Rule, this can also be written, which is the same as, since fractional exponents can be rewritten as roots.
Chapter 7 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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