Question

½√12 и ⅓√45 сравните

Answer 1

½√12 ∠  ⅓√45

½√12=√1/4*12=√3

⅓√45=√1/9*45=√5

Answer 2

To compare ½√12 and ⅓√45, we first need to simplify each expression.

1. Simplify ½√12: √12 can be simplified as follows: √12 = √(4 * 3) = √4 * √3 = 2 * √3

Now, ½√12 = ½ * (2 * √3) = √3

2. Simplify ⅓√45: √45 can be simplified as follows: √45 = √(9 * 5) = √9 * √5 = 3 * √5

Now, ⅓√45 = ⅓ * (3 * √5) = √5

Now we have: ½√12 = √3 ⅓√45 = √5

Since √5 ≈ 2.236 and √3 ≈ 1.732, we can see that √5 is greater than √3.

Thus, ⅓√45 is greater than ½√12.