greg1313 said:Yes.
HallsofIvy said:Originally you had "(-2sqrt{8 - 2{7}})^2". Where did the sqrt{7} come from? Did you intend to write "(-2sqrt{8 - 2sqrt{7}})^2"?
Squaring radical within a radical is a mathematical process that involves simplifying an expression with nested radicals (radicals within radicals) by raising it to a certain power, typically the second power or "squared".
Squaring radical within a radical is useful when simplifying complex expressions, as it can help eliminate nested radicals and make the expression easier to solve or work with.
To square radical within a radical, you must first identify the nested radicals and rewrite them as a single radical. Then, you can apply the exponent or power to the entire expression, which will simplify the nested radicals.
Yes, there are a few rules to keep in mind when squaring radical within a radical. These include the rule for multiplying radicals (where the indices are added), and the rule for simplifying radicals (where the indices are divided).
No, not all nested radicals can be squared. Some nested radicals may require more advanced techniques, such as rationalizing the denominator, to simplify or eliminate the nested radicals.