Question

sqrt(80) - sqrt(125) + sqrt(45)

Not really understanding how these problems work. The options to the question are:

5sqrt(2)
-3sqrt(5)
3sqrt(5)
2sqrt(5)

Any explanation/help would be appreciated :)

Answer 1

@TheToneOfSurprise

Here's how it works. :)

First, you need to simplify all the terms.

\[4\sqrt{5}-5\sqrt{5}+3\sqrt{5} \]

Second, you need to add all the terms outside the square roots. (NOTE: Always remember to add or subtract only when the numbers inside the square roots are the same.)

\[4\sqrt{5}-5\sqrt{5}+3\sqrt{5} = 2\sqrt{5} \]

That's it! Hope it helps. :)

Answer 2

I think I figured it out haha.

I simplified each equation to

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

4 -5 = -1
-1 + 3 = 2

Therefore, 2sqrt(5)?

Answer 3

@TheToneOfSurprise That's great! :)

Answer 4

@SweetsAndEverything Thanks for your help :) I awarded you best response or whatever - not sure what that does, but you deserve it either way haha.

Answer 5

@TheToneOfSurprise I'm really not sure what that award is too but thank you. :)