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3 years ago

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

Mathematics

2 answers:

Lilit [14]3 years ago

8 0

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

ddd [48]3 years ago

5 0

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

_____________________________________

Explanation:

_____________________________________

Simplify: " √20 ⋅ √3 · √18 " :

___________________________

Step 1) Simplify the "first term" :

"√20 " = √4 √5 = 2√5 ;

___________________________

Step 2): Consider the "second term:

"√3 " = √3 (already simplified);

___________________________

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 " .

______________________________________

The answer is: " 6√30 " ;

→ which is: "Answer choice: [D]: " 6√30 " .

_____________________________________

Hope this answer helps!

Best wishes!

_____________________________________

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===========================

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