Answer:
Proved
Step-by-step explanation:
Given
Integers: a and b
Where
Required
Show that
We start by writing out the given expression
Then, take nth root of both sides
For instance:
Let a = 2, b = 2 and n = 4
First
Since
Then
Proved
<em>This is so for all positive values of a,b and n where a < b</em>
As it has been given that ,
.
We need to find the value of the following:
(i) , substituting the value of 'x' and 'y' in the expression, we get:
So,
(ii) , substituting the value of 'x' and 'y' in the expression, we get:
So,
(iii) , we need to substitute the value of 'x' and 'y' in the expression, for this, we can use distributive property of multiplication that says,
Using the distributive property of multiplication:
Now, we know that
We get,
Therefore, =
.
(iv) We have, , we need to substitute the value of 'x' and 'y' in the expression, we get:
Again, we can use distributive property of multiplication that says,
So,
since,
we get,
Therefore,