Question

√150•√108 ----------------(разделить) √180

Answer 1

Корень 108×корень 150÷корень 180=корень 90=3 корень 10

Answer 2

√150*√108/√180= √ (150*108/180)= √90=3√10

Answer 3

To simplify the expression (√150 • √108) / √180, we can simplify each square root individually and then perform the division.

First, let's simplify the square roots: √150 = √(25 • 6) = √25 • √6 = 5 • √6 √108 = √(36 • 3) = √36 • √3 = 6 • √3 √180 = √(36 • 5) = √36 • √5 = 6 • √5

Now, let's substitute these values back into the expression: (5 • √6 • 6 • √3) / (6 • √5)

Next, we can cancel out the common factors: (5 • 6 • √6 • √3) / (6 • √5) = (30 • √6 • √3) / (6 • √5)

Now, we can simplify further: (30 • √6 • √3) / (6 • √5) = (5 • √6 • √3) / √5

Since √5/√5 = 1, we can simplify it to: 5 • √6 • √3

Therefore, (√150 • √108) / √180 simplifies to 5 • √6 • √3.