Question

ed as an attendee.
&
Q6) A rectangular block of metal is 0.24m long,
0.19m wide, 0.15m high. If the metal block is
melted to form a cube, find its length of each
side?

Answer 1

Step-by-step explanation:

Democracy (Greek: δημοκρατία, dēmokratiā, from dēmos 'people' and kratos 'rule') is a form of government in which the people have the authority to choose their governing legislators. Who people are and how authority is shared among them are core issues for democratic theory, development and constitution.

Answer 2

Step-by-step 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