compare. √13/√8 ,√7/√5
Answers
Answer:
Step-by-step explanation:
Which is greater: 4√3 or 3√4?
Solution:
In order to compare two surds, they have to be similar i.e., they have to be surds of the same order.
4√3 is a surd of 4th order and 3√4 is a surd of 3rd order.
4√3 can be written as 31/4 and 3√4 as 41/3.
It is still not possible to compare. For this we need to take the LCM of the two orders and express them as surds of one order.
LCM of 3 and 4 is 12.
1/4 can be written as (1/4)*(3/3) = 3/12 AND 1/3 can be written as (1/3)*(4/4) = 4/12.
31/4 can be written as 33/12 41/3 can be written as 44/12.
33/12 = (33)1/12 = 12√27 44/12 = (44)1/12 = 12√256
Now, the comparison is between 12√27 and 12√256.
Clearly, 12√256 is greater as 256 > 27.
Therefore, 3√4 > 4√3
Not the correct answer but the way is given
Step-by-step explanation: