Question

R is a positive number. It is multiplied by 8 and then squared. The square is now divided by 4 and the square root is taken. The result of the square root is Q. What is the value of Q?

• A. 3R
• B. 4R
• C. 7R
• D. 9R

Answer 1

The Correct Option is B

Let the positive number be denoted as \( R \). 

Step 1: Multiply \( R \) by 8.

\( 8R \)

Step 2: Square the result from Step 1.

\((8R)^2 = 64R^2\)

Step 3: Divide the square by 4.

\(\frac{64R^2}{4} = 16R^2\)

Step 4: Take the square root of the result from Step 3.

\(\sqrt{16R^2} = 4R\)

Thus, the value of Q is \( 4R \).

Therefore, the correct option is 4R.