(2√18+3√8)+(3√22-√50)

Предыдущий
вопрос Следующий
вопрос

To simplify the expression (2√18+3√8)+(3√22-√50), we first need to simplify the square roots where possible.

√18 = √(9 2) = 3√2
√8 = √(4 2) = 2√2
√22 and √50 cannot be simplified further.

Now substitute the simplified square roots:

(2√18 + 3√8) + (3√22 - √50)
= (2(3√2) + 3(2√2)) + (3√22 - √(25*2))
= (6√2 + 6√2) + (3√22 - 5√2)
= 12√2 + 3√22 - 5√2

Combining like terms, we get:

= 7√2 + 3√22

Therefore, the simplified expression is 7√2 + 3√22.