Respuesta :
Answer:
3√2(5√8-7√3) = 60 - 21√6
Step-by-step explanation:
We need to find the product of 3√2(5√8-7√3). The distributive property states that: A(B+C) = AB + AC.
Then, by using the distributive propertive we have that:
3√2(5√8-7√3) = 3√2 * 5√8 - 3√2 * 7√3 = 15√8√2 - 21√2√3.
Also, we know that: √A√B = √AB. Using this:
15√8√2 - 21√2√3 = 15√16 - 21√6 = 60 - 21√6.
Answer:
The correct answer is 60 -21√6
Step-by-step explanation:
It is given that,
3√2(5√8 - 7√3)
To find the product
We have
3√2(5√8 - 7√3) = 3√2(5√8) - 3√2(7√3)
= 3*5√(2 * 8) - 3 * 7 √2 * 3
= 15√16 - 21√6
= 15 * 4 - 21√6
= 60 -21√6
Therefore 3√2(5√8 - 7√3) = 60 -21√6
The correct answer is 60 -21√6