Question

4x-2y- 4 = 0
Neha went to a 'sale' to purchase some pants and skirts. When her friend asked her how
many of each she had bought, she answered "The number of skirts are two less than twice
the number of pants purchased. Also the number of skirts is four less than three times the
number of pants purchased." Help her friend to find how many pants and skirts Neha
bought​

Answer 1

Step-by-step explanation:

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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

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