Question

1)3×√11×√442)√3^4×√7^23)√13^2×2^4​

Answer 1

Держи пожалуйста , на здоровье

Answer 2

Let's simplify the given expressions:

1. 3 × √11 × √442:

First, we can simplify the square roots: √11 = √(3 × 11) = √3 × √11

√442 = √(2 × 13 × 17) = √(2 × 13) × √17 = √2 × √13 × √17

Now we can substitute these values back into the expression: 3 × √3 × √11 × √2 × √13 × √17

Next, we can combine the coefficients and the square roots: 3 × √(3 × 11 × 2 × 13 × 17)

Finally, we can calculate the product inside the square root: 3 × √(3 × 11 × 2 × 13 × 17) = 3 × √(18018)

So, the simplified expression is 3√18018.

2. √3^4 × √7^2:

Here, we can simplify the exponents inside the square roots: √3^4 = √(3^2)^2 = √9 = 3

√7^2 = √49 = 7

Now we can multiply the simplified square roots: 3 × 7 = 21

So, the simplified expression is 21.

3. √13^2 × 2^4:

Similarly, we can simplify the exponents inside the square roots: √13^2 = √169 = 13

2^4 = 2 × 2 × 2 × 2 = 16

Now we can multiply the simplified square roots: 13 × 16 = 208

So, the simplified expression is 208.