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:
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
