√7−2√7 - 2√7−2² - √7−3√7 - 3√7−3√7+3√7 + 3√7+3 + 2√28
First, let's expand and simplify the terms:
√7−2√7 - 2√7−2² = 7 - 4√7 + 4
√7−3√7 - 3√7−3√7+3√7 + 3√7+3 = 7 - 9 = -2
Now, substitute the simplified terms back into the expression:
7 - 4√7 + 4 - −2-2−2 + 2√2811 - 4√7 + 2 + 2√2813 - 4√7 + 2√28
Therefore, √7−2√7 - 2√7−2² - √7−3√7 - 3√7−3√7+3√7 + 3√7+3 + 2√28 = 13 - 4√7 + 2√28.
√7−2√7 - 2√7−2² - √7−3√7 - 3√7−3√7+3√7 + 3√7+3 + 2√28
First, let's expand and simplify the terms:
√7−2√7 - 2√7−2² = 7 - 4√7 + 4
√7−3√7 - 3√7−3√7+3√7 + 3√7+3 = 7 - 9 = -2
Now, substitute the simplified terms back into the expression:
7 - 4√7 + 4 - −2-2−2 + 2√28
11 - 4√7 + 2 + 2√28
13 - 4√7 + 2√28
Therefore, √7−2√7 - 2√7−2² - √7−3√7 - 3√7−3√7+3√7 + 3√7+3 + 2√28 = 13 - 4√7 + 2√28.