Question

1.Знайти значення виразу: 1) √27 ∙ 64 3 2) √4 6 ∙ 3 9 3 3)√ 2 7 5 14 7 4)√4 3 ∙ √16 3 5) √3 8 ∙ 7 4 4 √5 4 ∙ 2 12 4 2.Спростіть вираз:

Answer 1

Ответ:

аллададалкшасшьу уклсшсльубулвдд

Answer 2

1. Let's calculate the values of the given expressions:

2. √27 ∙ 64^3 First, let's simplify the square root: √27 = √(9 * 3) = 3√3

Now, substitute the values back into the expression: 3√3 ∙ 64^3 = 3√3 ∙ (4^3)^3 = 3√3 ∙ 4^9 = 3√3 ∙ 4^3 ∙ 4^6 = 3√3 ∙ 64 ∙ 4^6 = 192√3 ∙ 4^6 = 192√3 ∙ 4096 = 786,432√3

Therefore, the value of the expression is 786,432√3.

2. √4^6 ∙ 3^9 First, simplify the square root: √4^6 = √(2^2)^6 = 2^6 = 64

Now, substitute the values back into the expression: 64 ∙ 3^9 = 64 ∙ (3^3)^3 = 64 ∙ 27^3 = 64 ∙ 19683 = 1,259,712

Therefore, the value of the expression is 1,259,712.

3. √275147 ∙ 47^4 First, simplify the square root: √275147 = √(13^2 * 67) = 13√67

Now, substitute the values back into the expression: 13√67 ∙ 47^4 = 13√67 ∙ (47^2)^2 = 13√67 ∙ 2209^2 = 13√67 ∙ 48818881 = 634,645,253√67

Therefore, the value of the expression is 634,645,253√67.

4. √43 ∙ √16^3 First, simplify the square roots: √43 ∙ √16^3 = √43 ∙ (√16)^3 = √43 ∙ 4^3 = √43 ∙ 64 = 64√43

Therefore, the value of the expression is 64√43.

5. √38 ∙ 7^4 ∙ 4√5^4 ∙ 2^12 First, simplify the square roots: √38 = √(19 * 2) = √19√2 4√5^4 = 4√(5^2) = 4√25 = 4 * 5 = 20

Now, substitute the values back into the expression: √19√2 ∙ 7^4 ∙ 20 ∙ 2^12 = √19√2 ∙ 2401 ∙ 20 ∙ 2^12 = 2401√19√2 ∙ 20 ∙ 2^12 = 48,040,320√19√2

Therefore, the value of the expression is 48,040,320√19√2.

2. To simplify the expression, I need the specific expression you would like me to simplify. Please provide the expression you would like me to simplify.