Solve this Radical Expression: No Calculators Allowed!

#OlympiadMathematics #OlympiadPreparation #CollegeEntranceExam

[zplusacademy]

Wow so interesting problem sir ❤️🙏🙏🙏🙏 so tickling...it's stepping

[chandrashekharswamy]

Even at this age of 63 I still enjoy your mind tickling math problems and the way you solve the same. I wish I had a teacher like you during my early school days. Nevertheless your voice and speech reflects one of my high school days teacher. Thank you Sir... Keep going. Namaste

[schwille]

A way - if you learned to calculate in school - 40x43=1720, 41x42=1722, 1720x1722=1721^2-1. Now i am ready - no calculate allowed.

[webscreener]

It is a pleasure to watch your unique math videos

[ClestNerd]

I just like to think of it as the product of the first and the last plus 1. It works for any 4 sequential numbers.

[andylee]

Very nice! I tried using differences of squares, for example 40*42 = (41 - 1)(41 + 1), but didn't get anywhere.

[netravelplus]

Always a pleasure to watch your videos. It gives me a good exercise for my brain.

[HappyFamilyOnline]

Great explanation👍
Thanks for sharing😊😊

[maitreyim]

Ahh!!! The beauty of math... What looks complex is always simple 🙂

[tommyboy]

great job, easy to follow and understand

[siddhantofpremath]

Actually this was very interesting!
Thank you sir..!🤩🤩😍😍😍💯

[ankeshpritam]

I have done sir, on my own this question

[der]

Great‚ can you help me to solve this problem pls
Let a‚b‚c be real numbers such that:
ab+bc+ca=3
And:
a+b+c=5
prove that :
–1≤c≤13/3

[geometer]

I used a more numeric approach and arrived at the same result:
Sqrt[(40•43)(41•42)+1) =
Sqrt[(1720)(1722)+1]

I then let u = 1720

Sqrt[u(u+2) +1] =
Sqrt[u^2 +2u *1] =
Sqrt[ (u+1)^2 ] =
u+1= 1720 + 1
Solution = {1721}

Excellent video. Challenging problem. Outstanding professor.👍

[youahm]

Harika bir yöntem. Sona doğru sesli güldüm..

[Келөрісі]

I did the simile question in Japanese high school!
I could solve it yey

[subbaraob]

It is bettet to take 41 as (x-1)(x+1)x(x+2)+1

[math-problem]

Soal dan pembahasan Matematika - Trigonometri : SBMPTN, SIMAK UI, Sipenmaru

[shreyanshpatel]

X²+ 3x + 1
Formula for this

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