Sandra was simplifying 4√√5. 2√3, and she ended up with 8√15 as her simplified

Question

answer.
Is Sandra correct? If she is not correct, what was her mistake?
(1 point)
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.
Sandra's answer is not correct. She should have added the coefficients to get 6√15
Sandra's answer is not correct. She could continue to simplify the radical to get 24√5.
Sandra's simplified answer is correct.

Answer 1

To simplify \( 4\sqrt{5} \cdot 2\sqrt{3} \), you can multiply the coefficients and the radicals separately:

1. Multiply the coefficients: \( 4 \cdot 2 = 8 \)
2. Multiply the radicals: \( \sqrt{5} \cdot \sqrt{3} = \sqrt{15} \)

So, the complete multiplication would look like this:

\[ 4\sqrt{5} \cdot 2\sqrt{3} = 8\sqrt{15} \]

Therefore, Sandra's simplified answer of \( 8\sqrt{15} \) is indeed correct.

Sandra's answer is correct.