Question

write the additive inverse of 6i-i√-49​

Answer 1

adjective inverse of 6i-i√-49

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Answer 2

The additive inverse of 6i-i√-49 is -6i  - 7

Given

6i-i√-49​

To Find

The additive inverse

Solution

6i - i√-49

Since √-1 = i,

√-49 = 7i

Hence the expression becomes,

6i - i X 7i

= 6i - 7i²

We know that,

i² = -1

Therefore

-7i² = -(-7) = 7

Therefore, the expression is now,

6i  + 7

The additive inverse of any number when added to the number itself gives the result 0.

Hence, the additive inverse of 6i  + 7 should be -6i  - 7

To check this we can add these two numbers up.

6i  + 7 - 6i  - 7

=0

Therefore, the additive inverse of 6i-i√-49 is -6i  - 7

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