Question

(3+корень7)2степень-2клрень63

Answer 1

(3+√7)2-2√63=9+6√7+7-6√7=16

Answer 2

Let's simplify the expression step by step:

1. Calculate the square of the quantity (3 + √7): (3 + √7)^2 = (3 + √7) * (3 + √7) = 3 * 3 + 3 * √7 + √7 * 3 + √7 * √7 = 9 + 6√7 + 7 (since √7 * √7 = 7) = 16 + 6√7

2. Now, subtract the square root of 63 (√63): √63 = √(9 * 7) = √9 * √7 = 3√7

3. Subtract 2√7 from the result: (3 + √7)^2 - 2√7 = (16 + 6√7) - 2√7 = 16 + 4√7

So, the simplified expression is 16 + 4√7.