Simplify: 2 sqrt (3) + 6 sqrt(2) - 4 sqrt(3) + sqrt (2)
a) 8 sqrt(2) - 3 sqrt(3)
b) 6 sqrt(2) - 8 sqrt(3)
c) 5 sqrt(6)
d) 7 sqrt(2) - 2 sqrt(3)
the answer i picked was d
That's correct.
thanks jen
Hsnz
To simplify the given expression, we can combine like terms. Remember that like terms have the same radical term, in this case, either sqrt(3) or sqrt(2).
Let's group the terms with sqrt(3) together: 2 sqrt(3) - 4 sqrt(3). Simplifying this, we get -2 sqrt(3).
Similarly, let's group the terms with sqrt(2) together: 6 sqrt(2) + sqrt(2). Simplifying this, we get 7 sqrt(2).
Now, let's put the simplified terms together: -2 sqrt(3) + 7 sqrt(2).
Comparing this with the given options, we see that the correct answer is (d): 7 sqrt(2) - 2 sqrt(3).
So, you picked the correct answer. Well done!