Explanation of 2 root 3 [ 3 root5] [1-root5]/1 root5
Simplification of the given expression
Let's first simplify the given expression step by step:
- 2 root 3 can be written as 2√3
- [3 root 5] can be written as [3√5]
- [1-root5]/1 root5 can be simplified as (1-√5)/(1√5)
- Now, we can multiply the above three terms as follows:
2√3 x [3√5] x (1-√5)/(1√5)
On solving the above expression, we get:
-18√5
Explanation of the solution
The given expression consists of three terms. The first term is 2 root 3, which can be simplified by writing it as 2√3. The second term is [3 root 5], which can be written as [3√5]. The third term is [1-root5]/1 root5, which can be simplified by rationalizing the denominator.
Now, we can multiply the above three terms as follows:
2√3 x [3√5] x (1-√5)/(1√5)
On solving the above expression, we get:
-18√5
Therefore, the solution to the given expression is -18√5.