20 square root of 270 / 4 square root of 3

The most simplified form is 15√10

Step-by-step explanation:

1. Let's simplify the expression:

20√270 : 4√3

20√9 * 30 / 4√3 (√270 = √9 * 30)

60 √30 / 4√3

(60 √3 * √10) / 4√3 (√30 = √3 * √10)

60/4 √10 (We cancel √3 in the numerator and in the denominator)

15√10

The most simplified form is 15√10