Question

1). √3 27/8 2).3√2√2^3√2 3). 3√3*24^2

Answer 1

Держите ответы, мисье.

Answer 2

Let's simplify each of the given expressions:

1. √3 √3 is the square root of 3, which is approximately 1.732.

2. 3√(2√(2^3√2)) Let's simplify this step-by-step: Step 1: 2^3√2 This is the cube root of 2, raised to the power of 2. The cube root of 2 is approximately 1.260, and when you raise it to the power of 2, you get 1.260^2 = 1.587.

Step 2: 2√(1.587) This is the square root of 1.587, which is approximately 1.260.

Step 3: 3√(1.260) This is the cube root of 1.260, which is approximately 1.123.

So, the final result is 3√(2√(2^3√2)) ≈ 3√(1.123) ≈ 1.123.

3. 3√(3 * 24^2) Step 1: 24^2 This is 24 raised to the power of 2, which is 24^2 = 576.

Step 2: 3 * 576 Multiply 3 by 576, which gives us 1728.

Step 3: 3√1728 This is the cube root of 1728. The cube root of 1728 is 12 since 12^3 = 1728.

So, the final result is 3√(3 * 24^2) = 3√1728 = 12.

To summarize:

1. √3 ≈ 1.732
2. 3√(2√(2^3√2)) ≈ 1.123
3. 3√(3 * 24^2) = 12