You may be having a hard time how to write the radicals here.
Option A: If the given is written as [tex] \sqrt{24t ^{4} } [/tex]:
The answer in simplified form is:
[tex]t ^{2} \sqrt{(4)(6)} [/tex]
[tex]2t ^{2} \sqrt{6} [/tex] ⇒ Final answer
Option B: If the given is written as [tex]( \sqrt{24t} ) ^{4} [/tex]:
The solution to simplifying the given:
[tex]( \sqrt{24} ) ^{4} ( \sqrt{t} )^{4} [/tex]
[tex](24 ^{ \frac{1}{2} } ) ^{4} (t ^{ \frac{1}{2} } ) ^{4} =(24 ^{ \frac{4}{2} } )(t ^{ \frac{4}{2} } )[/tex]
= [tex](24 ^{2} )(t ^{2} ) = 576t ^{2} [/tex]
Final answer: 576t²
