Question

(√7-2√3)(√7+2√3) упростить выражение

Answer 1

$(\sqrt{7}-2\sqrt{3})(\sqrt{7}+2\sqrt{3} )=(\sqrt{7})^{2}-(2\sqrt{3})^{2}=7-4*3=7-12=-5$

Answer 2

Ответ: -5

$(\sqrt{7} - 2\sqrt{3} )(\sqrt{7} + 2\sqrt{3})\\(\sqrt{7} ^{2} - 4\sqrt{3} ^{2})\\(7- 4*3) = 7 - 12 = -5$

Answer 3

To simplify the expression (√7 - 2√3)(√7 + 2√3), we can use the difference of squares formula, which states that (a - b)(a + b) = a^2 - b^2. In this case, a = √7 and b = 2√3.

Using the formula, we get:

(√7 - 2√3)(√7 + 2√3) = (√7)^2 - (2√3)^2 = 7 - 4*3 = 7 - 12 = -5

So, the simplified expression is -5.