Question

7√2 - 3√8 + 4√18 решите плиз

Answer 1

С начало заносим все под корень. будет корень 51- корень72=корень 288= под общий корень корень 51-72=288= корень 267

Answer 2

7√2 - 3√8 + 4√18=7√2 - 3√4*2+4√9*2=7√2-6√2+12√2=√2(7-6+12)=13√2

Answer 3

To simplify this expression, we need to identify the factors that are perfect squares and can be factored out of each term:

7√2 = 7√(2) = 7√(2×1) = 7√(2)√(1) = 7√(2)√(2/2) = 7√(4/2) = 7√4√(1/2) = 7×2√2

3√8 = 3√(4×2) = 3√4√2 = 3×2√2

4√18 = 4√(9×2) = 4√9√2 = 4×3√2

Therefore, the expression can be simplified as follows:

7√2 - 3√8 + 4√18 = 7×2√2 - 3×2√2 + 4×3√2 = (14 - 6 + 12)√2 = 20√2

So, the simplified expression is 20√2.