Question

What is the simplest form of the expression?

3sqrt(750)+3sqrt(2058)-3sqrt(48)

a. 14 3sqrt(6)
b. 17.5 3sqrt(6)
c. 33 3sqrt(6)
d. 10 3sqrt(6)

Answer 1

\[14 \sqrt[3]{6} , 17.5 \sqrt[3]{6}, 33 \sqrt[3]{6}, 10 \sqrt [3]{6}\]

Answer 2

\[\sqrt[3]{750} + \sqrt[3]{2058} - \sqrt[3]{48}\]

Answer 3

Let's start with the prime factors of 750, 2058, and 48

750/2 = 375
375/3 = 125
125/5 = 25
25/5 = 5
5/5 = 1
750 = 2 x 3 x 5^3

2058/2 = 1029
1029/3 = 343
343/7 = 49
49/7 = 7
7/7 = 1
2058 = 2 x 3 x 7^3

48/2 = 24
24/2 = 12
12/2 = 6
6/2 = 3
3/3 = 1
48 = 2^4 x 3

Answer 4

ok yes