Question

Guiding ples of NCF 2005
Drawing for any
ject
MODULE 2
1) Activits 5: Safe School
According to you, what is a safe school environment? Reflect on how your school
can be made a safe and healthy place for learning. Make a plan to integrate these
strategies ways in the different activities of the school
-planning doreeting
2) Portfolio Activity
Based on the understanding about personal social qualities, observe for a weck your
own self as you interact with interaction can be on virtual platform)​

Answer 1

Explanation:

Question : Prove that√5 is irrational.

Answer :

Let us assume that √5 is a rational number.

Sp it t can be expressed in the form p/q where p,q are co-prime integers and q≠0

⇒√5=p/q

On squaring both the sides we get,

⇒5=p²/q²

⇒5q²=p² —————–(i)

p²/5= q²

So 5 divides p

p is a multiple of 5

⇒p=5m

⇒p²=25m² ————-(ii)

From equations (i) and (ii), we get,

5q²=25m²

⇒q²=5m²

⇒q² is a multiple of 5

⇒q is a multiple of 5

Hence, p,q have a common factor 5. This contradicts our assumption that they are co-primes. Therefore, p/q is not a rational number

√5 is an irrational number

Hence proved