Simplify 6 plus the square root of negative 80. 6 plus 16 times the square root of 5 i 6 plus 4 i times the square root of 5 6 plus 16 i times the square root of 5 6 plus 4 times the square root of 5 i

Answer:6 plus 4 i times the square root of 5Step-by-step explanation:The given statement can be written as:6+√-80To solve √-80 re-write -80 as -1 * 80Now √-80 =√-1 * 80Now we can write it as: 6+ √-1 * √80We know that √-1 = iThus it becomes:6+ i√80Now find the square root of 8080 does not have a perfect square rootIts square root can be found as 80 = 4*4*5Then,6+i√4*4*5Notice that 4 makes a pair.. So we will write it outside the square root6+1*4√5We will write it as:6+4i√5Thus the correct option is 6 plus 4 i times the square root of 5....