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@user-hd9do6tc8kАй бұрын
Умножить числитель и знаменатель дроби на 2, в знаменателе будет формула квадрат разности корня из 5 и корня из трех. А дальше только упростить! 😊
@paulortega5317Ай бұрын
let x = the answer. u = x/4. Then u^2 = 4+sqrt(15) and 1/u^2 = 4-sqrt(15). u^2+1/u^2 = 8 and then u+1/u=sqrt(10). u^2+1=u*sqrt(10). 5+sqrt(15)=u*sqrt(10). u=(5+sqrt(15))/sqrt(10). u=sqrt(2)*(sqrt(5) + sqrt(3))/2. x = 4u = 2*sqrt(2)*(sqrt(5) + sqrt(3)).
@kenrutherford7607Ай бұрын
splendid!!!!
@muratyasaryldz8168Ай бұрын
Çok güzel bir paylaşım.Muzik ve matematik öyle muhteşem bilim ki konuşmaları anlamasam da ne yaptığınızı anliyorum.Cok teşekkürler
@gnanadesikansenthilnathan6750Ай бұрын
Clear. Splendid and excellent.
@learncommunolizerАй бұрын
Thanks. Your welcome
@betto63mx9211 күн бұрын
Para no obtener un resultado como el que esperaba, propongo esta alternativa mas directa y con un resultado como el que tampoco me convence . . A partir de Sq(64 + 16 sq15) Sq( 16 ( 4 + sq15 )) 4sq( 4 + sq15)
@key_board_x2 күн бұрын
= √[16 / (4 - √15)] = √[16.(4 + √15) / {(4 - √15).(4 + √15)} ] = √[16.(4 + √15) / {16 - 15} ] = √[16.(4 + √15)] = 4√(4 + √15) → you need to find a number x sush as x² = 4 + √15 Suppose that: x = √a + √b x = √a + √b x² = (√a + √b)² x² = (√a)² + 2.(√a).(√b) + (√b)² x² = a + 2.√(ab) + b x² = (a + b) + 2.√(ab) → by identification to (4 + √15) a + b = 4 2.√(ab) = √15 √(ab) = (1/2).√15 √(ab) = √[(1/4) * 15] ab = (1/4) * 15 ab = 15/4 Resume a + b = 4 ← this is the sum S ab = 15/4 ← this is the product P a & b are the solution of the equation: x² - Sx + P = 0 x² - 4x + (15/4) = 0 Δ = (- 4)² - [4 * (15/4)] = 16 - 15 = 1 x = (4 ± 1)/2 x = 5/2 ← this is a x = 3/2 ← this is b We can see that: [ √(3/2) + √(5/2) ]² = (3/2) + 2√[(3/2) * (5/2)] + (5/2) [ √(3/2) + √(5/2) ]² = (8/2) + 2√(15/4) [ √(3/2) + √(5/2) ]² = 4 + √15 Restart: = 4√(4 + √15) = 4√[ √(3/2) + √(5/2) ]² = 4.[√(3/2) + √(5/2)] = 4√(3/2) + 4√(5/2) = √(48/2) + √(80/2) = √24 + √40 = 2√6 + 2√10 = 2.(√6 + √10)
@user-ee7nw2rx9sАй бұрын
Умножить на 2 Sqrt (32/(8-2sqrt 15)) Таким образом 32=2*4^2 8-2sqrt 15=(sqrt 5-sqrt 3)^2 Извлечение квадратного корня 4 *sqr2 /(sqrt 5-sqrt 3) Избавиться от иррациональности в знаменателе 4 sqrt 2*(sqrt 5+sqrt3) /2=2 sqrt 10+2sqrt6 2 минуты, а не 8 как на видео
@arturchirkiАй бұрын
Бессмысленная задача, и никакой красоты в решении и ответа.Задача смотрится проще, чем ответ.
@mauriziograndi175028 күн бұрын
You right here we see taking pleasure in writing plenty of small steps. I believe the shorter is the smartest.
that's funny, Harris begging for your hard earned cash at the beginning of this video, in an ad. I wouldn't show her the restroom if her hair was on fire.
@user-gr3ut4gk9w18 күн бұрын
Как же бесят переписывания по 100 раз одно и тоже
@mathshindustani62166 күн бұрын
There is easier way to solve this bro U made it lengthy But nice try
@reinhardtristaneugen9113Ай бұрын
also ich habe da 11 vor dem Komma, aber weil das natürlich zum Quadrat 121 ergibt, musste ich weiterrechnen, und kam auf 11,09. Wie ich darauf kam? Ich zog die Wurzel von 15 im Kopf, was mich zu 3,87 führte und subtrahierte und das brachte mich zu 13 / 100, wobei man ja dividiert, indem man mit dem Kehrwert multipliziert, sodass ich 1600 durch 13 hatte und das führt zu 123 und eben zu 11.09, so man die Wurzel zieht. Le p'tit Daniel
@user-ge2on1sl6v23 күн бұрын
الجاواب النهائي مش مختصر نهائيا
@OscarTejada201422 күн бұрын
7 minutes of my life just to see it wasn’t solved at all… go out and have a social life
@krzysztofzajac444617 күн бұрын
what does your social life consist of? watching films on youtube? go out and have a real social life...
@anonymousperson446613 күн бұрын
@@krzysztofzajac4446atleast not solving a square root to get another
@grqb_tg24783 күн бұрын
En Perú, ese ejercicio se hace en 1 minuto y en 4 o 5 líneas ... Hicieron un procedimiento demasiado largo y tedioso.
@doctobi943723 күн бұрын
Notnonly in your last Line but for example: SquareRoot of 4 could also be -2...so you lost some solutions...sorry
@dashinglover962921 күн бұрын
Square root is always positive
@doctobi943721 күн бұрын
thank you. I went wrong because x^2=4 has two solutions -2 and +2
@shehzar_hn268018 күн бұрын
@@doctobi9437There is difference between x2 =4 has to solution...Here we remove power But when √4 only positive value comes out ...With mod