Question

What is the sum of the √-2 and √-18?

Answer 1

Answer:

The sum is 4 i√2

Step-by-step explanation:

Both the numbers √-2 and √-18 are imaginary number and thus can be presented as  

i√2 and i√18  

On simplifying, the i√18  can be written as i√( 9 x 2)

Taking out square root of 9 we get-  

3i√2  

Thus the summation of i√2 and i√18  can be written as  

i√2 + 3i√2  

= 4 i√2

Answer 2

Answer:

The correct answer is  (4 √2) i

Step-by-step explanation:

The sum we are looking is "x"

x= √-2+ √-18

By the Radical Properties of Multiplication ,

x=√-2 +√(-2*9)

x=√-2 +√-2* √9

Considering √-2= √((-1)*2)= √-1 *√2

According to the propriety of complex numbers , we can say

i=√-1

Replacing

x= i √2 + 3 i√2  

The answer is x= (4 √2) i