Question

(√200−5)(5+5√8)= Оченььь срочноооо пж!

Answer 1

= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = =

$(\sqrt{200}-5)\cdot(5+5\sqrt{8})=(10\sqrt{2}-5)\cdot(10\sqrt{2}+5)=200-25=\bf 175$

= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = =

Answer 2

(10√2-5)(5+10√2)

100×2-25

200-25

175

Answer 3

Давайте упростим выражение:

$(\sqrt{200} - 5)(5 + 5\sqrt{8})$

1. Раскроем скобки:

$\sqrt{200} \cdot 5 + \sqrt{200} \cdot 5\sqrt{8} - 5 \cdot 5 - 5 \cdot 5\sqrt{8}$

2. Упростим выражение, используя свойства корня:

$5\sqrt{4 \cdot 50} + 5\sqrt{4 \cdot 2 \cdot 4 \cdot 2} - 25 - 25\sqrt{2 \cdot 2 \cdot 2}$

$5 \cdot 2\sqrt{50} + 5 \cdot 4\sqrt{2} - 25 - 25\sqrt{8}$

$10\sqrt{50} + 20\sqrt{2} - 25 - 25\sqrt{8}$

3. Упростим корень из 50:

$10\sqrt{25 \cdot 2} + 20\sqrt{2} - 25 - 25\sqrt{8}$

$10 \cdot 5\sqrt{2} + 20\sqrt{2} - 25 - 25\sqrt{8}$

$50\sqrt{2} + 20\sqrt{2} - 25 - 25\sqrt{8}$

4. Сгруппируем подобные члены:

$(50 + 20)\sqrt{2} - 25 - 25\sqrt{8}$

$70\sqrt{2} - 25 - 25\sqrt{8}$

Таким образом, упрощенное выражение равно $70\sqrt{2} - 25 - 25\sqrt{8}$.