Challenge Math and Brain Teaser Problems!

No, that is not the answer! A bit surprised no one has solved it yet

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Woah I just had a go at the `√(x + √(x + √(x + ...)))` one and it has turned out so interesting! I will post what I have so far later

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Awesome!
Yes, that one is really cool
It has a simple answer, but it's just mind boggling

I like number 3 in the algebra one (the driving one)
It's really cool when you simplify things

I just solved number 2 in the algebra one today. It's very difficult, but has a relative idea

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Hehe I was thinking so too, here are my 'investigations':

This was just very rough working out

Tell your friend that that was awesome and really interesting to think about! I wonder how they came up with it, and if you or them had any more explorations on this!

This saved me from more horrors (of learning practices in schools) and boredom

Ooh I have not looked at the others much yet, but sounds like it must have been fun

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Oh wow, that's a lot (you're extremely smart)

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Aww no it is just me talking a lot! (And psst... I will share something then )

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That was not my working out!
There’s a simpler way, but you did get the correct answer

What I did to figure out:

I wrote the more simplified version of how to work it out after I solved it:

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@t1_hopscotch
Would you like to start a mathy collab where we'd create a ton of mathematical stuff?

(Incuding the Pascal's triangle in binary with clones!)

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If you do make a collab, may I join please?

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Yes! Of course!
I'll also tag the entire math Tag List when I create the topic
Are you going to stay on Hopscotch over the summer?

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Ok, sounds good. I'm pretty sure I will be on HS, it's actually coming to Winter here

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Oh! I didn't know that!

So are holidays opposites to the northern hemisphere, or do you celebrate holidays on different seasons?

It all seems really confusing, but super awesome! Do you have a long summer vacation, or is it a long winter vacation?

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What can open but not close (make it its original state)?

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Question: You have been given the task of transporting 3,000 apples 1,000 miles from Appleland to Bananaville. Your truck can carry 1,000 apples at a time. Every time you travel a mile towards Bananaville you must pay a tax of 1 apple but you pay nothing when going in the other direction (towards Appleland).

What is highest number of apples you can get to Bananaville?

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I've seen this one before, although I forgot the answer. I am going to try solving it

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I am most likely wrong, but 0?

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it can't be 0 XD
it can, but it's not

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