write the expression in the form bi, where b is the real number
squareroot-16
squareroot-25
squareroot-3
squareroot-5
what is 4i squared? 5i?
√-16
= √-1√16
= 4i
now you do the others the same way.
sqrt(-16)=sqrt(-1)sqrt(16)=i sqrt(16)=4i
sqrt(-25)=sqrt(-1)sqrt(25)=i sqrt(25)=5i
I think you can see it now. Just remember i=sqrt(-1). And don't forget your properties of sq-roots.
To write the given expressions in the form bi, where b is a real number, we need to simplify the square roots.
1. Square root of -16:
The square root of a negative number is not a real number. It is called an imaginary number. In this case, the square root of -16 can be written as 4i, where i represents the imaginary unit (√-1).
2. Square root of -25:
Similar to the previous case, the square root of a negative number is not real. Thus, the square root of -25 can be simplified as 5i.
3. Square root of -3:
Again, the square root of a negative number is not real, so it can be written as √3i.
4. Square root of -5:
Similarly, the square root of a negative number is not a real number. Therefore, the square root of -5 can be expressed as √5i.
In all cases, we are representing the square roots of negative numbers as bi, where b is a real number and i is the imaginary unit.