1/5√75+3√48-√147+√300+√27
√2-1/9√162-2/3√27+1/5√300

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вопрос

First, simplify each term individually:

1/5√75 = 1/5 * 5√3 = √3

3√48 = 3 * 4√3 = 12√3

√147 = √3 * 49 = 7√3

√300 = √3 * 100 = 10√3

√27 = √3 * 9 = 3√3

Combining all terms, we get:

√3 + 12√3 - 7√3 + 10√3 + 3√3 = 19√3

Now, simplify the second expression:

√2 - 1/9√162 - 2/3√27 + 1/5√300

√2 = √2

1/9√162 = √2

2/3√27 = 2 * 3√3 = 6√3

1/5√300 = √2

Combining all terms, we get:

√2 - √2 - 6√3 + √2 = -6√3

Therefore, the final expression is:

19√3 - 6√3 = 13√3