Question

Simplify. √20⋅√3·√18 5√30 5√10 6√10 6√30

Answer 1

Answer:Simplify:   " √20 ⋅ √3 · √18 " :

1)  Simplify the "first term" :

√20   = √4 √5 = 2√5

Step 2):  Consider the "second term:  

√3  = √3  

Step 3)  Simplifly the "third term" :

√18    =  √9 * √2 =  " 3√2 " ;

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)  = 6 √30  

Answer 2

The correct answer is:   [D]:  " 6√30 " .

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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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