Question

√5(10 - 4√2)

Answer 1

Choices: 14
15√2
5√2 - 4√10
None of the above

Answer 2

I narrowed it down to C and D

Answer 3

So if we distribute the sqrt(5) to each term in the brackets, it gives us\[\large 10\sqrt5 - 4\sqrt2 \cdot \sqrt5\]

From here, we can combine the square roots on the right.\[\large 10\sqrt5-4\sqrt{2\cdot5} \quad = \quad 10\sqrt5-4\sqrt{10}\]

Understand those steps ok? :)

Answer 4

yes

Answer 5

Hmmm so you narrowed it down to C or D? That sounds good.. I guess we just have to ask ourselves whether or not this is equivalent to C.

And looking at it, I don't think we can do anything to the first term to make them look the same, they're clearly different :D

Answer 6

hahaha thanks. so my instinct of d is correct

Answer 7

hehe yah :3