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.