Question

simplify 4√-4+5√-9-3√-16​

Answer 1

Answer:

11i

Step-by-step explanation:

4√-4+5√-9-3√-16

= 4×2i+5×3i-3×4i

= 8i+15i-12i

= 23i-12i

= 11i

Answer 2

Given:

The given expression is 4√-4+5√-9-3√-16.

To find:

We have to simplify it.

Solution:

To simplify the above expression we have to follow the below steps as follows-

The given expression is 4√-4+5√-9-3√-16.

We know that the square root of any negative quantity is equal to"i".

So, we can write-

√-1=i

Thus, the above expression can be simplified as follows-

$4 \sqrt{ - 4} + 5 \sqrt{ - 9} - 3 \sqrt{ - 16} \\ 4 \times (2i) + 5(3i) - 3(4i) \\ = 8i + 15i - 12i \\ = 11i \\ \sqrt{ - 121}$

Hence the value of the above expression is 11i or √(-121).