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Hello welcomes this is the Excel thesis the solvent paper okay this is paperweight question one a very quick question okay the first one is what#39’s up that it's 27 over the square root of seven and what asked to put it in the form K root seven where K some kind of integer okay, so you make them how the hell we can do that and well you have to remember the key with this is rationalizing this denominator so just would have noticed that you never Seabourne ever leave a sure on the bottom however we can actually change the value of that, so we've got to times it by something that#39’s equal to one but that'something that#39’s equal to one also haste be something which removes this side off the bottom and only way of changing third into a normal number okay it#39;by time isn't it by itself okay so in other words times root seven by seven that will give us seven okays therefore root seven and as it'likely to be some kind of fraction cheroot seven has to be on the bottom okays therefore as we can only time it bone we actually time by root 7 over 7okay we chose CS is 21 root 7 over 7however the key with this I mean you should spot it anyway, but it asks you to give it in the form K root 7okay so obviously that#39’s not the end fit okay so 21 over 70 is obviously 3 south#39’s 3 root 7and now I would just as well state the fact that therefore K is equal to 3 alright, but I mean 3 root 7 is your answer but because it#39’s got K root 7 no harm instating what K is as well okay now this next bit again another in the see rule, and you always flip the fraction up Hecuba this is great of negative 1/3 okay and I think the best way to think about it, you don't flip this fraction up toucan always think of it as this okay soil we call it as M X to the power of negative 1/3okay what you would do to make that one positive Chico 1 over X to the third okay so basically when you flip this fraction you turn the power positive okay so we#39’re going to do a similar thing here however because this is essentially an essentially 8 over 1 okays when we flip the fraction we get em 8and I it#39’s all to the power of 1/3 okays in other words you the bottom numbers the power what you cube it to so then root sorry and the top number is a power okay, so you cube root it and then time sit to the power 1 book as tangents about1 is the same as x it back one we just leave it as the cube root of Tokay, but really you should show you doing it to the power 1 as well, but it essentially matters obviously that just becomes equal to1/2 okay and then that#39’s your answer to question 1 as I said a very quick question and say nothing that takes Upton much time okay thanks for watching, and we'll see you in the next question is there any questions of any questions or anything about that may have done it a little too quickly please do let me know, and obviously I'll get back to you in the comments but we#39’ll see in the next video thanks for watching
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