Question

(7корень3+корень 2)2-14(корень6+2)=

Answer 1

147+14√6+2-14√6+28=175

Answer 2

Let's first simplify the expression inside the parentheses:

(7√3 + √2)² = (7√3)² + 2(7√3)(√2) + (√2)² = 493 + 27√3√2 + 2 = 147 + 14√6 + 2 = 149 + 14√6

Next, we can simplify the expression outside the parentheses:

14(√6 + 2) = 14√6 + 28

Now we can substitute the simplified expressions back into the original equation:

(7√3 + √2)² - 14(√6 + 2) = (149 + 14√6) - (14√6 + 28) = 149 - 28 = 121

Therefore, the simplified value of the expression is 121.