Question

Please help! 15 points! Do not steal points or I will report! Explanation = Brainliest!

Answer 1

(Answer is below)

Let's solve this step-by-step.

1. Prime factorization of 384.

$=\sqrt{2^7\times3}$

2. Apply the exponent rule. (Formula: $a^b^+^c=a^b\times a^c$)

$=\sqrt{2^6\times2\times2\times3}$

3. Apply the radical rule. (Formula: $\sqrt{ab} =\sqrt{a}\sqrt{b}$ or $a\geq 0,b\geq 0$)

$=\sqrt{2^6} \sqrt{2\times3}$

3a. Solve 2 to the 6th power.

$\sqrt{2\times2\times2\times2\times2\times2} =8$

4. Multiply 2 by 3. (Note: Put the 8 in your final answer)

$\sqrt{2\times3} =8\sqrt{6}$

Your answer is: $8\sqrt{6}$

Let me know if you have any questions.

~ Lily, from Brainly.