Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,191

I. Find the square roots of

(1)

(2)

(3)

(4)

II. Show that

.Character is who you are when no one is looking.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,728

Hi ganesh;

Answer for (1)

*Last edited by bobbym (2009-04-20 22:32:41)*

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,728

Hi ganesh

for (2)

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

Offline

**smiyc86****Member**- Registered: 2009-03-19
- Posts: 78

hi ganesh,

I love Maths and Music ... dunno which more

Offline

**nurshodiq****Member**- Registered: 2009-03-29
- Posts: 12

*Last edited by nurshodiq (2009-04-25 15:57:19)*

Offline

**nurshodiq****Member**- Registered: 2009-03-29
- Posts: 12

How many pairs of natural number (x,y) with

primeOffline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,728

Hi nurshodiq;

I think that

is the only solution.

Since it factors into:

and both of those terms are greater than 1 for all

must consist of 2 or more primes or two or more composites so cannot be prime

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

Offline

Pages: **1**