To solve the expression inside the square root, we need to follow several steps. Let's break it down step-by-step:
1. Identify the Expression Inside the Square Root:
The given expression inside the square root is:
[tex]\[ 16a^{15} + 9a^{36} \][/tex]
2. Simplify the Expression Inside the Square Root:
There are no further simplifications that can be applied directly to the terms [tex]\( 16a^{15} \)[/tex] and [tex]\( 9a^{36} \)[/tex] as they are not like terms and cannot be combined.
3. Take the Square Root of the Entire Expression:
Now, we need to find the square root of the expression:
[tex]\[ \sqrt{16a^{15} + 9a^{36}} \][/tex]
4. Analyze the Result:
The expression inside the square root does not have a straightforward simplification, so we simply write the square root of the given terms without further combination:
[tex]\[ \sqrt{16a^{15} + 9a^{36}} \][/tex]
Therefore, the final simplified form of the given expression is:
[tex]\[ \sqrt{9a^{36} + 16a^{15}} \][/tex]
So, [tex]\(\sqrt{16 a^{15}+9 a^{36}} = \sqrt{9a^{36} + 16a^{15}}\)[/tex]. This concludes the detailed step-by-step solution to the problem.
