Question

(корень) 3*5^2* (корень) 3*12^2

Answer 1

Ответ: 180

Объяснение:

$\sqrt{3*5^{2} }*\sqrt{3*12^{2} } = \sqrt{3*5^{2}*3*12^{2} } = \sqrt{3*25*3*144} = \sqrt{32400} = 180$

Answer 2

To simplify the expression, let's break it down step by step:

1. Start with the first part: √3 * 5^2.

   The exponent 2 means raising 5 to the power of 2: 5^2 = 5 * 5 = 25. So, √3 * 5^2 becomes √3 * 25.

2. Next, focus on the second part: √3 * 12^2.

   Again, the exponent 2 means raising 12 to the power of 2: 12^2 = 12 * 12 = 144. So, √3 * 12^2 becomes √3 * 144.

3. Now, let's multiply the two results: (√3 * 25) * (√3 * 144).

   Multiplying the numbers inside the square roots: (√3 * √3) * (25 * 144) = 3 * 3600 = 10,800.

Therefore, the simplified expression is 10,800.