SINGAPORE Mathematical Olympiad - 2002 | SCHOOL OF OLYMPIAD | Irrationals (L-5)

Math Olympiad | SINGAPORE 2002 | SCHOOL OF OLYMPIAD | Irrationals (L-5)

We have to simplify the given expression and find if it has a rational value or an irrational value ? Also, we need to simplify this expression.

School of OLYMPIAD is a brand new series by MAX MATH GAMES where we will be solving many questions were asked in Junior Maths Olympiads.

This one is from SINGAPORE 2003 Junior Maths Olympiad
(SSSMO(J) - Singapore Secondary Schools Mathematical Olympiads
for Junior Section)

Maths is a universal subject, all the nation have a common ground. International Maths Olympiad where we all unite.

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[Chetenry]

Bro, here's a question from SMO 2020 (Junior section). It's number theory qn and I'd like u to go through it in a video if possible

Here's the qn:
If m>n are positive integers satisfying (m²-n²)² = 1+80n,
What is the smallest possible value of m×n.

Btw great job with those videos 👍

[serhiypidkuyko]

it can be done the following way:
let us have the triangle ABC, AB=c, BC=a, CA=b
then the square of the area of this triangle is equal to

let a=√12, b=√11, c=√10
then
so sinA=√359/(2√11√10)
so the area of ABC is equal to (1/2) √11 √10 sinA = √359/4
so the square of the area is equal to 359/16
so (a+b+c)(a+b-c)(b+c-a)(c+a-b) = 359
answer

[lmbo]

These are far too easy please take up more difficult questions 🙏