Question

Упросить 10√2/5 С объяснением

Answer 1

10$\sqrt{ \frac{2}{5} }$ 
используем правило вычисления кв.корней
10$\frac{ \sqrt{2} }{ \sqrt{5} }$
вычислим произведение
$\frac{10 \sqrt{2} }{ \sqrt{5} }$
избавимся от иррациональности в знаменателе
$\frac{10* \sqrt{2}* \sqrt{5} }{ \sqrt{5} *\sqrt{5} }$
$\frac{10* \sqrt{10} }{5}$

Ответ:$2 \sqrt{10}$

Answer 2

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Answer 3

10√2/5 is a mathematical expression. Let's break it down step by step.

Simplifying the Expression:

To simplify the expression 10√2/5, we can start by simplifying the square root of 2, which is approximately 1.4142.

So, 10√2/5 becomes 10 * 1.4142 / 5.

Next, we can multiply 10 by 1.4142, which gives us approximately 14.142.

So, 10 * 1.4142 / 5 simplifies to 14.142 / 5.

Finally, we can divide 14.142 by 5, which gives us approximately 2.8284.

Therefore, 10√2/5 simplifies to approximately 2.8284.

Calculation Steps:

Here are the steps to calculate 10√2/5:

1. Calculate the square root of 2: √2 ≈ 1.4142. 2. Multiply 10 by the square root of 2: 10 * 1.4142 ≈ 14.142. 3. Divide the result by 5: 14.142 / 5 ≈ 2.8284.

So, the value of 10√2/5 is approximately 2.8284.

Please note that the above calculations are approximate and rounded for simplicity.