Question

What is the simplest form of the expression?

^3 sqrt 750 + ^3 sqrt 2058 - ^3 sqrt 48

A) 14 ^3 sqrt 6
B) 17.5 ^3 sqrt 6
C) 33 ^3 sqrt 6
D) 10 ^3 sqrt 6

Answer 1

see below

Explanation:

1.10·⁴√2x

2. 3^√10 units

3. 10 3^√6

4. -49 + 13 √7

5. -3 + 2 √2

Answer 2

^ 3 sqrt 750 + ^ 3 sqrt 2058 - ^ 3 sqrt 48
Rewriting the expression we have
^ 3 sqrt (6 * x ^ 3) + ^ 3 sqrt (6 * y ^ 3) - ^ 3 sqrt (6 * z ^ 3)
That is, we have the following equations:
6 * x ^ 3 = 750
6 * y ^ 3 = 2058
6 * z ^ 3 = 48
Clearing x, y and z we have:
x = 5
y = 7
z = 2
Then, rewriting the expression
x (^ 3 sqrt (6)) + y (^ 3 sqrt (6)) - z (^ 3 sqrt (6))
Substituting the values
5 (^ 3 sqrt (6)) + 7 (^ 3 sqrt (6 *)) - 2 (^ 3 sqrt (6))
10 (^ 3 sqrt (6))
answer
the simple form of the expression is
D) 10 ^ 3 sqrt 6