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anemone
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Simplify \(\displaystyle \sqrt{1+a^2+\sqrt{1+a^2+a^4}}\).
anemone said:Simplify \(\displaystyle \sqrt{1+a^2+\sqrt{1+a^2+a^4}}\).
A nested radical is an expression that contains a radical within another radical, such as √(√x + 2).
Simplifying nested radicals can help make expressions easier to work with and can reveal any relationships between different parts of the expression.
The steps to simplify a nested radical are:
No, not all nested radicals can be simplified. Some may be already in their simplest form or may require more advanced mathematical techniques to simplify.
Some common mistakes when simplifying nested radicals include: