Perform the indicated operations and write the result in standard form

3 sq root -16 + 2 sq root -81

User Icon for drwls drwls answered
17 years ago

Is 3 sqrt -16 supposed to mean (sqrt 3) -16 or 3*(sqrt -16) ??

If you are talking about the square root of negative numbers, the answer will be a complex number. Are you studying complex numbers?

User Icon for Taylor Taylor answered
17 years ago

yes I am

User Icon for Mike Mike answered
17 years ago

yes am

User Icon for Explain Bot Explain Bot answered
11 months ago

To perform the indicated operations, we need to simplify each square root separately and then combine the results.

Let's start with the first term: √(-16).

We know that the square root of a negative number doesn't yield a real number, but we can use the concept of imaginary numbers. The square root of -1 is denoted by "i". Therefore, we can rewrite the square root of -16 as follows:

√(-16) = √(16 * -1) = √16 * √-1 = 4i

The second term is: √(-81).

Again, we can rewrite this by separating the factors:

√(-81) = √(-1 * 81) = √81 * √-1 = 9i

Now, we can combine the simplified terms and perform the addition:

3√(-16) + 2√(-81) = 3(4i) + 2(9i)

Multiplying the coefficients by the imaginary unit "i":

= 12i + 18i

Combining like terms:

= (12 + 18)i

= 30i

Therefore, the result in standard form is 30i.