How do you simplify 5 sqrt48- 8 sqrt 27548827?

1 Answer

5sqrt48-8sqrt27=-4sqrt3548827=43

Explanation:

5sqrt48-8sqrt27548827

= 5sqrt(2xx2xx2xx2xx3)-8sqrt(3xx3xx3)52×2×2×2×383×3×3

= 5sqrt(ul(2xx2)xxul(2xx2)xx3)-8sqrt(ul(3xx3)xx3)

Take the squared numbers outside of the square root

= 5xx2xx2xxsqrt3-8xx3xxsqrt3

= 20sqrt3-24sqrt3

= -4sqrt3