Question

Simplify the number using the imaginary unit i square root of -98

Answer 1

`√(-98)=7i√(2)`

Explanation:

We wish to simplify:

`√(-98)`

We can rewrite it as such:

`=√(-1\cdot 98) =√(-1\cdot 49\cdot2)=√(-1)\cdot√(49)\cdot√(2)`

Hence:

`=i(7)√(2)`

Therefore:

`√(-98)=7i√(2)`