Question

2 sqrt18+ 3 sqrt8+3 sqrt32- sqrt50

Answer 1

Ответ: 19√2

Пошаговое объяснение:2√18+3√8+3√32-√50 =2√(9·2)+3√(4·2)+3√(16·2)-√(25·2)=

6√2+6√2+12√2 - 5√2 =√2(6+6+12 -5)=

=√2·19=19√2

Answer 2

Looks like you're dealing with some square roots and numbers there! If you want to simplify the expression, you can break down each square root into its prime factors and then combine like terms.

Here's a breakdown for your expression:

$2\sqrt{18} + 3\sqrt{8} + 3\sqrt{32} - \sqrt{50}$

1. $2\sqrt{18}$: $18 = 2 \times 3^2$, so $2\sqrt{18} = 2 \times 3 \sqrt{2} = 6\sqrt{2}$.
2. $3\sqrt{8}$: $8 = 2^3$, so $3\sqrt{8} = 3 \times 2\sqrt{2} = 6\sqrt{2}$.
3. $3\sqrt{32}$: $32 = 2^5$, so $3\sqrt{32} = 3 \times 2^2\sqrt{2} = 12\sqrt{2}$.
4. $-\sqrt{50}$: $50 = 2 \times 5^2$, so $-\sqrt{50} = -5\sqrt{2}$.

Now, combine like terms:

$6\sqrt{2} + 6\sqrt{2} + 12\sqrt{2} - 5\sqrt{2} = 19\sqrt{2}$

So, $2\sqrt{18} + 3\sqrt{8} + 3\sqrt{32} - \sqrt{50}$ simplifies to $19\sqrt{2}$.