 Okay, that was our problem on the first level where we made our answer one level complicated, right? Let's take this make it one level more complicated So what we're going to do is we're going to deal with each term individually now this one I'm gonna all we're going to do in this round is probably just remove the brackets actually might go a little bit further I might just remove the brackets in this term and just explain that and then just kick it out one more level Okay, so we're going to deal with each term individually and make each term more complicated Let's start off with five square root five now Five square root five what we can do to make this more complicated or make it look different I don't know if it's more complicated make it look different do a little more fun It's just bring the five inside the radical simple, right now square root again This means two here is invisible to if you go on any level higher Three or four or five or whatever you're right the number there when there isn't a number So when you take this number inside this number comes in here the rule is this is a boundary So it clones itself twice. So you multiply the clothes so when this guy comes in it becomes the square We've gone over this so I'm just going to write out what what the final answer, right? So this would be if you brought it in it would be the square root of a hundred twenty five and Square root you can just write as to the power of a half Is the same as that because that's the square root of a hundred twenty five and a hundred twenty five Rates down to five times five times five and we have square root hundred twenty five square root Means if you look for couples pairs you grab two of the fives in great amount So this one taking care of made it look complicated or made it look different This now I'm not going to do the same thing. What I'm going to do is Multiply this number by one right like we talked about before you can write any number in any form you want Like for example number four can be written as eight over two now What that really means is I multiplied number four can be written as four over one right now What I did was multiply Number four by two over two, which is basically one so the number one is super powerful because It's used in multiple places a lot of different tricks when you're rationalizing the nominees. We haven't talked about that yet, but This is a really important concept where you can multiply any number by one now It's your choice what one looks like for us for this one I'm gonna I'm gonna multiply make my one look like Let's do this work. We're actually gonna do this one this step. So this becomes Might we got a minus here right now. We're gonna deal with this I'm gonna take this and make it just write out three squared with five and I'm gonna multiply this number by the number one and I'm gonna choose one to be two two over two so I'm gonna multiply this by two Square with two over two Now if you if you remember your fraction we're doing our fraction this will kill this and this will kill this So that's just one now three root five is just one right so when you're multiplying fractions top off plus bottom I bought so three square root five times two square root five the number Multiply the number Three times two is six root five times root five is root ten so this guy We're just gonna break it down and then just write out the whole thing down here. So this that would be six six, so this is going to be minus six Square root of ten over One times square root of two is just one square or sorry two square root two Square root two and I'm just gonna break this guy down. So this is a hundred twenty five To a power of a half and that's a ten Now if you want could have just written down as a square root of it made the transition If you want to do that Could have written down as a square root and then just made the transition to an exponent when we went to the next level So so far we've taken these two numbers and may have looked more complicated. Let's deal with this guy With this guy What are we gonna do first thing we would do is remove the bracket when you drop this bracket This negative number applies to everything inside the bracket. Now. This is positive a square q root of 8 a square so the negative side just multiplies the positive So this actually just becomes minus this so this one's fine. You can leave this one alone We're not really even the goal. There's a one here and the ones multiplying this And this when you multiply this by negative one It is a negative one. It comes negative that and this guy becomes you just change the sign here And it just becomes minus and your brackets don't look so you just killed your brackets and apply the negative number here To this guy this guy. So how are we gonna write this? You know what I'm gonna do with this I'm gonna do the same thing I did with this guy, which is bring this inside the root symbol Now when you're bringing this guy inside the This is the cube root of this thing the battery says Triplets you need triplets to go from here there and if you're coming in you got a clone itself three times So this guy goes in here, and it becomes minus because it's a minus minus It's your root Actually, let's write it out. You know, I'm gonna write it up really small and then just convert it down here Okay, so this thing is gonna clone itself three times. So it's gonna be a square times a square times a Square that's that guy and we already had one of these guys here, right? So that's gonna be a square So when you're multiplying any anything that has a same base all you do you add the exponents, right? So 2 plus 2 is 4 plus 2 is 6 plus 2 is 8. So this guy just becomes minus There's your 8 to the power of 8 right And we talked about the radicals the radical here. It's just really you go In the exponent as the denominator, so I'm gonna take the cube root here and move it to the exponent And it's just gonna go on there here Okay, so this is 8 to the power of 8 over 3. So this is 2 8 squared, right? So let's deal with this part first 2 8 squared We can write as 4 over 2. So let's write our So that's our fraction. So this becomes minus 2 I can write as 4 2 So 4 divided by 2 is 2. So we're cool there that works a square. I'm gonna write a square that's a to the power of negative 2 because if you remember when you had Intuitures and negative exponent negative exponent if it's a bottom just kicks up So this guy would just be 8 to the negative 2 and just convert to that, right? Let's go with this thing. Let's Q root That's 8 squared. I'm gonna make that 8 to the power of 5 that I can't just Change something and not compensate for it because we need our original, right? We're trying to work our way out So what I'm gonna do is that's 8 to the power of 5 That's a squared. So I need to take away 3 from that 5, right? And the way you take away with fractions is with radicals is when you're dividing by something With a power you subtract the exponents, right? So this would be I remember we still need this radical because like terms deal with each other, right? So this is going to be the 2 a To the power of Now we could have written that as a single a in the bottom But again, we'll just make things more a little bit more messier, but I think I'd like this one better It looks ugly So that's a great right there. So this would be 4 q 8 5 2 8 Messy messy, how's that look ugly ugly? So basically this would be a more complicated question of the of the previous one where you could Question 2 and it would have said simplify this