Maligayang pagdating sa IDNStudy.com, ang iyong platform para sa lahat ng iyong katanungan! Ang aming platform ay idinisenyo upang magbigay ng mabilis at eksaktong sagot sa lahat ng iyong mga tanong.

Simplify this √24t exponent of 4?

Sagot :

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