simplified answer.
Is Sandra correct? If she is not correct, what was her mistake?
(1 point)
a. Sandra's simplified answer is correct.
b. Sandra's answer is not correct. She could continue to simplify the radical to get
24√5.
c.Sandra's answer is not correct. She should have added the coefficients to get
6√15
d. Sandra's answer is not correct. She should have multiplied 4 times 5 in the first
radical and multiplied 2 times 3 in the second radical to get a final answer of 26.
1 answer
To determine if Sandra's simplification is correct, let's work through the multiplication of \( 4\sqrt{5} \) and \( 2\sqrt{3} \):
Multiply the coefficients: \[ 4 \times 2 = 8 \]
Multiply the radicals: \[ \sqrt{5} \times \sqrt{3} = \sqrt{15} \]
Combine the results: \[ 8\sqrt{15} \]
Based on these steps, Sandra's answer of \( 8\sqrt{15} \) is indeed correct.
Thus, the correct choice is:
a. Sandra's simplified answer is correct.
