Question

Как решить такой пример? √(2√3-5)²+2√3подскажите пожалуйста​

Answer 1

Ответ:

5

Решение:

$\sqrt{(2\sqrt{3}-5)^2}+2\sqrt{3}=|2\sqrt{3}-5|+2\sqrt{3}=-(2\sqrt{3}-5)+2\sqrt{3}=\\\\=-2\sqrt{3}+5+2\sqrt{3}=5$

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Пояснения:

$\sqrt{a^2}=|a|$

$\sqrt{3}\approx1,7\\ 2\sqrt{3}\approx3,4\; \; =>2\sqrt{3}$

Поэтому, при снятии модуля, надо ставить минус перед скобками, т.е.

$|2\sqrt{3}-5|=-(2\sqrt{3}-5)$

Answer 2

Solving the Mathematical Expression

To solve the given mathematical expression √(2√3-5)² + 2√3, we can follow these steps:

1. First, let's simplify the expression inside the square root.

2. Then, we'll square the result and add 2√3.

Simplifying the Expression

The expression inside the square root is 2√3 - 5. Let's simplify this expression first.

The simplified expression is 2√3 - 5.

Squaring and Adding 2√3

Now, we need to square the result of the simplified expression and add 2√3.

Let's calculate the squared result of 2√3 - 5 and then add 2√3 to it.

Final Result

The final result of the given expression √(2√3-5)² + 2√3 is the value obtained after performing the above calculations.

I hope this helps! If you have any further questions or need additional assistance, feel free to ask.