Question

∣ √ 3 + √ 2 7 ∣ ÷ ∣ √ 3 ∣

Answer 1

Ответ:

∣√3 + √27∣ ÷ ∣√3∣ = ∣√3 + 3√3∣ ÷ ∣√3∣ = ∣4√3∣ ÷ ∣√3∣ = ∣4∣

4 или -4

Answer 2

Let's break down the expression step by step.

1. ∣ √3 + √2/7 ∣: First, simplify the numerator inside the absolute value bars. You cannot simplify it further because √3 and √2 are not like terms. So the numerator remains √3 + √2/7.

2. ∣ √3 ∣: The absolute value of √3 is simply √3 because √3 is a positive number.

Now, substitute these values back into the expression:

$\frac{\left| \sqrt{3} + \frac{\sqrt{2}}{7} \right|}{\left| \sqrt{3} \right|}$

$= \frac{\left| \sqrt{3} + \frac{\sqrt{2}}{7} \right|}{\sqrt{3}}$

Now, you cannot simplify the expression inside the absolute value bars further. So the final simplified expression is:

$\frac{\left| \sqrt{3} + \frac{\sqrt{2}}{7} \right|}{\sqrt{3}}$