The correct answer is: [D]: " 6√30 " .
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Step-by-step explanation:
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Simplify: " √20 ⋅ √3 · √18 " :
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Step 1) Simplify the "first term" :
"√20 " = √4 √5 = 2√5 ;
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Step 2): Consider the "second term:
"√3 " = √3 (already simplified);
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Step 3) Simplifly the "third term" :
" √18 " = √9 * √2 = " 3√2 " ;
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We have: " 2√5 * √3 * 3√2 " ;
= (2* 3) * (√5 * √3 * √2) ;
= 6 * (√5 √3 √2) ;
Note: " (√5 * √3 * √2 )" = " √(5 * 3 * 2) " = " √ 30 " .
So: " 6 * (√5 * √3 * √2) =
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→ " 6 √30 " .
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The answer is: " 6√30 " ;
→ which is: "Answer choice: [D]: " 6√30 " .
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Hope this answer helps!
Best wishes!
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