Square Root of Negative Number Online Tutoring

Square Root of Negative Number Online Tutoring Square root of a number is written under the square root radical symbol and the numbers inside the square root should be greater than or equal to 0 to get a real solution. But if a negative number is inside the square root, then the solution is known ias an imaginary solution and it is written in terms of i. Square root of -1 is equal to i and it represented as i = -1. Therefore square root of negative numbers gives imaginary solutions. Example 1: What is the value of the expression, (-4)? (-4i) can be split further in order to simplify the expression. This implies that (-4) = 4 * -1 Here, 4 can be written as 4 = (2 * 2) = 2 Therefore, 4 = 2 and this gives -4 = 4 * -1 == -4 = 2 * -1. And -1 is equal to i ==-4 = 2 * -1 = 2 * i Hence the value of the expression, (-4) = 2i Example 2: What is the value of the expression, -27? (-27) can be split further in order to simplify the expression. This implies that (-27) = 27 * -1 Here, 27 can be written as 27 = (3* 3 * 3) = 33. Therefore, 27 = 33 and this gives -27 = 27* -1 == -27 = 33* -1. And -1 is equal to i == -27= 33 * -1 = 33 * i Hence the value of the expression, (-27) = 3i3.