4. When simplified, what is the value of 175, if i2 = – 1.

5i

Step-by-step explanation:

Using the rule of radicals

× ⇔

i² = - 1 ⇒ i =

Given

=

= × ×

= 5i

Step-by-step explanation:

In order to solve this question we need to know how to multiply roots. You will need to understand that when we multiply by , the following is true.

                      (1)

From the question it self we know that is equal to . We also know that or in other words .

Now we will need to factors so that at the end we will end up representing as a product of and some other number. In order to determine the unknown number we will just have to divide by . From the equation (1) that I mention at the start we can figure out that......

  (in our case is the unknown number we are trying to find)

Now we can rewrite as the following.....

From here we substitute with and simplify . In order to simplify we will have to factor in a way that we will see as a multiple of a perfect square root. An so we get the following

no this is a nonlinear negative