Question

(6 × √(3) +10)*(6√(3) - 10)

Answer 1

Пошаговое объяснение:

$\tt\displaystyle (6*\sqrt{3}+10)(6*\sqrt{3}-10)=(6\sqrt{3})^{2}-10^{2}=36*3-100=108-100=8$

Answer 2

To solve the expression (6 × √3 + 10) × (6 × √3 - 10), we can use the formula for the difference of squares: (a + b)(a - b) = a^2 - b^2.

Let's simplify step by step:

Step 1: Calculate the squares of the terms. (6 × √3 + 10) = (6 × √3)^2 - 10^2 = (36 × 3) - 100 = 108 - 100 = 8 (6 × √3 - 10) = (6 × √3)^2 - 10^2 = (36 × 3) - 100 = 108 - 100 = 8

Step 2: Apply the formula for the difference of squares. (6 × √3 + 10) × (6 × √3 - 10) = 8 × 8 = 64

Therefore, the result of the expression is 64.