Simplify.
√20⋅√3·√18

5√30

5√10

6√10

6√30

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!

60

step-by-step explanation:

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x