Question

(√7+6√2)^2 упростите выражение​

Answer 1

Объяснение:

=>По формуле суммы квадрата двух чисел:

$(\sqrt{7} +6\sqrt{2})^{2} =(\sqrt{7})^{2} +2*\sqrt{7}*6\sqrt{2}+(6\sqrt{2})^{2} =7+12\sqrt{14} +72=79+12\sqrt{14}$

Answer 2

To simplify the expression (√7 + 6√2)^2, you can follow these steps:

Step 1: Expand the expression using the formula (a + b)^2 = a^2 + 2ab + b^2.

Step 2: Substitute a with √7 and b with 6√2.

Let's proceed with the simplification:

(√7 + 6√2)^2 = (√7)^2 + 2(√7)(6√2) + (6√2)^2 = 7 + 2(√7)(6√2) + 36(√2)^2 = 7 + 2(√7)(6√2) + 36(2) [Since (√2)^2 = 2] = 7 + 2(6)(√7√2) + 36(2) = 7 + 12√14 + 72

So the simplified expression is 12√14 + 79.