Question

3*корень из 30/5*корень из 6

Answer 1

Ответ:

Объяснение:

$\frac{3\sqrt{30}}{5\sqrt{6}}= \frac{3\sqrt{5}*\sqrt{6}}{5\sqrt{6}}=\frac{3\sqrt{5}}{5}$

Answer 2

To simplify the expression, let's first rewrite it with mathematical notation:

$3 \cdot \sqrt{\frac{30}{5}} \cdot \sqrt{6}$

Now, we can simplify it step by step:

Step 1: Simplify the square root terms inside the radical:

$\sqrt{\frac{30}{5}} = \sqrt{6}$

Step 2: Replace the square root terms with their simplified values:

$3 \cdot \sqrt{6} \cdot \sqrt{6}$

Step 3: Combine the square root terms:

$\sqrt{6} \cdot \sqrt{6} = \sqrt{6 \cdot 6} = \sqrt{36}$

Step 4: Simplify the square root of 36:

$\sqrt{36} = 6$

Step 5: Finally, multiply the remaining constants:

$3 \cdot 6 = 18$

So, the simplified expression is 18.