Question

√(13-√101)² - √(√101-11)²

Answer 1

=13-корень из 101- корень из 101 -11= 2- 2корня из 101

Answer 2

Let's simplify the expression step by step:

1. Start with the expression: $\sqrt{(13-\sqrt{101})^2} - \sqrt{(\sqrt{101}-11)^2}$

2. Simplify each square inside the square roots:

   $\sqrt{(13-\sqrt{101})^2} = 13 - \sqrt{101}$

   $\sqrt{(\sqrt{101}-11)^2} = \sqrt{101} - 11$

3. Substitute these results back into the original expression:

   $(13 - \sqrt{101}) - (\sqrt{101} - 11)$

4. Distribute the negative sign to the terms inside the second parenthesis:

   $13 - \sqrt{101} - \sqrt{101} + 11$

5. Combine like terms:

   $13 - \sqrt{101} - \sqrt{101} + 11 = 24 - 2\sqrt{101}$

So, the simplified expression is $24 - 2\sqrt{101}$.