Question

Simplify the radical expression 4√99.
a) 2√11
b) 3√11
c) 2√33
d) 3√33

Answer 1

After simplifying the radical expression 4√99, we get 6√11, which is not one of the provided options. This suggests an error in the question or answer choices.

Step-by-step explanation:

The question involves simplifying a radical expression, specifically, 4√99. To simplify this expression, we identify perfect square factors within the radicand (the number under the radical). Since 99 is 9 times 11, and 9 is a perfect square (3²), we can rewrite the expression as follows:

• 4√99 = 4√(9×11) = 4√9×√11
• Since √9 is 3, we get 4 x 3 x √11
• Therefore, 4√99 simplifies to 2×3×√11, which is 6√11

However, note that 6√11 is not one of the answer choices provided, which indicates there may be an error in the question or the given answer options. Since we cannot choose a correct answer from the provided options, we assume there is a typo or mistake.