Question

Виконайте дії: 1) √5+ 7√5 – 4/5 2) 3√a – 2√a 3). √36а -√81a + √49a 4)3√5.4√2 5). (2√3-3√5) √3+4√15СРОЧНО!!! 15 ​

Answer 1

√5 + 7√5 - 4/5 = (1 + 7)√5 - 4/5 = 8√5 - 4/5

Ответ: 8√5 - 4/5

3√a - 2√a = √a(3 - 2) = √a

Ответ: √a

√36a - √81a + √49a = 6√a - 9√a + 7√a = 4√a

Ответ: 4√a

3√5 * 4√2 = 12√10

Ответ: 12√10

(2√3 - 3)√5 = 2√15 - 3√5

Ответ: 2√15 - 3√5

√3 + 4√15 - эта сумма не может быть упрощена, так как корни различны и несократимы.

Ответ: √3 + 4√15

Answer 2

1) To simplify the expression √5 + 7√5 - 4/5, we can combine like terms. Since both terms have a square root of 5, we can add them together to get 8√5. The expression becomes 8√5 - 4/5.

2) To simplify the expression 3√a - 2√a, we can subtract the coefficients of the square root of a. Since both terms have a square root of a, we can subtract 2√a from 3√a to get √a. The expression becomes √a.

3) To simplify the expression √36a - √81a + √49a, we can simplify the square roots. The square root of 36a is 6√a, the square root of 81a is 9√a, and the square root of 49a is 7√a. The expression becomes 6√a - 9√a + 7√a. Combining like terms, we get 4√a.

4) To simplify the expression 3√5 * 4√2, we can multiply the coefficients and combine the square roots. 3 * 4 is 12, and √5 * √2 is √10. The expression becomes 12√10.

5) To simplify the expression (2√3 - 3√5) + √3 + 4√15, we can combine like terms. The terms with the square root of 3 are 2√3 and √3, which add up to 3√3. The terms with the square root of 15 are -3√5 and 4√15, which add up to √15. The expression becomes 3√3 + √15.

Please note that these simplifications are based on the given expressions and may not be further simplified.