Answer: The correct answer is: [C]:
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→ " 12sqroot " ; or, write as: " 12√2 " .
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Step-by-step explanation:
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√24 * √12 = ?
Let us start by simplifying: " √24 " ;
24 = 4 * 6 ;
So; √24 = √4 *√6 ;
√4 = 2 ;
So: " √24 = √4 *√6 = 2√6 " .
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Now, let us simplify: " √12 " :
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" √12 = ? "
12 = 4 * 3 ;
So: "√12 = √4 *√3 " ;
√4 * √3 = 2√3 ;
So: "√12 = √4 *√3 = 2√3 " .
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We are asked to solve—"simplify"— "√24 * √12 " .
√24 = 2√6 ; as we simplified above.
√12 = 2√3 ; as we simplified above.
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So: " √24 * √12 " ;
= 2√6 * 2√3 ;
= ? ; Note: "2 * 2 = 4 " ; and: "√6 * √3 = √(6*3) = √18 ;
So; 2√6 * 2√3 ;
= 4√18 ;
Now, we can simplify this value further:
by simplifying: " √18 " ;
18 = 9 * 2 ;
So: " √18 = √9 *√2 = 3 √2 " ;
So: " 4√18 = 4 * (3√2) = 12√2 " .
→ which is our answer: " 12√2 " .
→ which corresponds to:
→ Answer choice: [C]: " 12 * sq root 2 " . {or, write as: " 12√2 ".}.
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Hope this answer and explanation is of help to you!
Wishing you the best in your academic endeavors
— and within the "Brainly" community!
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