सिंधु सभ्यता की खोज में विस्तार क्षेत्र पर प्रकाश डालिए
Answers
Answer:
Reportedly, Pratap died of injuries sustained in a hunting accident, at Chavand on 19 January 1597, aged 56. He was succeeded by his eldest son, Amar Singh I. On his death bed, Pratap told his son never to submit to the Mughals and to win Chittor back.
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