Question

How do I solve pic rel? Online calculators keep saying the result is -1 but they don't show any steps which is confusing

thx in advance!

Answer 1

-1

Explanation:

`\sqrt{9 - 4 √(2) } - 2 √(2) \\ \\ = \sqrt{8 + 1 - 4 √(2) } - 2 √(2) \\ \\ = \sqrt{8 - 4 √(2) + 1} - 2 √(2) \\ \\ = \sqrt{ {(2 √(2)) }^(2) - 2 * 2 √(2) * 1 + {1}^(2) } - 2 √(2) \\ \\ = \sqrt{( {2 √(2) - 1)}^(2) } - 2 √(2) \\ \\ (2 √(2) - 1) - 2 √(2) \\ \\ = 2 √(2) - 1 - 2 √(2) \\ \\ = - 1`