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Elden [556K]
3 years ago
6

Prove that√5 is a irrational number​

Mathematics
2 answers:
SIZIF [17.4K]3 years ago
8 0

Answer:

The square root of five is 2.2360679775...

Step-by-step explanation:

The square root of five is irrational because it never ends (example: 3.1415... )

MAVERICK [17]3 years ago
6 0

Answer:  1. This irrationality proof for the square root of 5 uses Fermat's method of infinite descent: Suppose that √5 is rational, and express it in lowest possible terms (i.e., as a fully reduced fraction) as mn for natural numbers m and n. Then √5 can be expressed in lower terms as 5n − 2mm − 2n, which is a contradiction.

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Yuto and Lian are at train stations 1,880 kilometers apart. Yuto boards a train heading east at an average speed of 220
Doss [256]

Answer:

1,000 km

Step-by-step explanation:

Assume that when two train pass each other, Lian has traveled x (km)

=> The time Lian has traveled when two trains pass each other is:

<em>Time = Distance/ Rate = x/ 250 (hour)</em>

As Lian and Yuto travelled from the two opposite train stations and the train stations are 1,880 km apart

=> When two train pass each other, Yuto has traveled 1,880 - x (km)

=> The time Yuto has traveled when two trains pass each other is:

<em>Time = Distance/ Rate = (1,880 - x)/220 (hour)</em>

As Lian and Yuto board at the same time, so that when two trains pass each other, the time both of them have traveled is equal

=> <em>x/ 250 = (1,880 - x)/220</em>

<em>=> 220x = 250 x (1,880 -x) </em>

<em>=> 220x = 470,000 - 250x</em>

<em>=> 470x = 470,000</em>

<em>=> x = 1,000</em>

<em />

<em>So that, </em>when two train pass each other, Lian has traveled x = 1,000 km

<em> </em>

6 0
3 years ago
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Sven can type 30 words per minute.How many words would he type in 20 minutes?
saveliy_v [14]
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