n cannot be equal to zero so the biggest was uh NUMBER_TOKEN squared but that's when n is equal to zero but this is not achievable so we go to the next one the next even well the previous even number right so NUMBER_TOKEN that's our consideration so we are just going to make this equal to NUMBER_TOKEN and then we just plug that back so we have NUMBER_TOKEN squared so NUMBER_TOKEN squared and that's equal to NUMBER_TOKEN plus NUMBER_TOKEN square root of yeah just solve this equation now and that's pretty much it so let's see NUMBER_TOKEN squared is NUMBER_TOKEN minus NUMBER_TOKEN is NUMBER_TOKEN and divided by NUMBER_TOKEN is NUMBER_TOKEN and then we make that equal to the square root NUMBER_TOKEN NUMBER_TOKEN minus n and of course we can just do the usual business square both sides and then work this out right and i'll just tell you guys that n is equal to six thousand one hundred fifty six seriously you are asking for the smallest integer n and then the smallest answer is NUMBER_TOKEN ready yeah really because if you put this back there yes we get our integer yep yep if you like solving different types of math problems and want to learn more they should check out sponsor today brilliant brilliant is an excellent online learning platform with a big focus on interactive learning they have over NUMBER_TOKEN interactive courses in math science and computer science this is from their mathematical fundamentals course we can see how they provide visualization and animation to difference of two squares and not just the algebraic manipulations once you interact with the lesson the concept will just stick with you much better i can tell you that taking a course from brilliant is really really fun because they always keep you engaged by storytelling and beautiful animations on top of that they have courses for every student ranging from algebra to college calculus and even more and the best part is if you use the link in the description blame dot work slash black pen repent then you can get NUMBER_TOKEN of discount so go ahead and check them out and also thank brilliant for sponsoring this video so now i have another question for you guys is it possible for us to find the biggest negative integer n so that the same expression gives us an integer and we notice when n is negative this right here is complex so what do you think i'm gonna do this to you guys
START_SPONSOR_TOKEN yep if you like solving different types of math problems and want to learn more they should check out sponsor today brilliant brilliant is an excellent online learning platform with a big focus on interactive learning they have over NUMBER_TOKEN interactive courses in math science and computer science this is from their mathematical fundamentals course we can see how they provide visualization and animation to difference of two squares and not just the algebraic manipulations once you interact with the lesson the concept will just stick with you much better i can tell you that taking a course from brilliant is really really fun because they always keep you engaged by storytelling and beautiful animations on top of that they have courses for every student ranging from algebra to college calculus and even more and the best part is if you use the link in the description blame dot work slash black pen repent then you can get NUMBER_TOKEN of discount so go ahead and check them out and also thank brilliant for sponsoring this video END_SPONSOR_TOKEN