Question

What is the exact value of the expression
√18 +√48 -√50?

Simplify completely

Answer 1

We need to simplify the radicals. I will do the first two:

sqrt(18) = sqrt(9 *2) = 3sqrt(2)

sqrt(48) = sqrt(16 *3) = 4sqrt(3)

Can you try the third one?

Answer 2

sqrt(50)=sqrt(25x5)=5sqrt(5)

Answer 3

Also written as

\[\sqrt{18} = 3\sqrt{2}\]

\[\sqrt{48} = 4\sqrt{3}\]

Answer 4

Nice! Now we have

3 sqrt (2) + 4sqrt(3) - 5 sqrt(2)

Answer 5

We can combine the first and third term to get

-2 sqrt (2) + 4sqrt(3)

for our final answer

Answer 6

Oh, I see now, thank you so much meverett04 :)

Answer 7

You are welcome