Sandra was simplifying 4sqrt(5) * 2sqrt(3) and she ended up with 8sqrt(15) as her simplified answer Sandra correct? If she is not correct, what was her mistake? (1 point) Sandra's answer is not correctShe 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 6sqrt(15) Sandra's simplified answer is correct Sandra's answer is not correct. She could continue to simplify the radical to get 24sqrt(5)

Answer 1

Sandra's answer is not correct. The correct steps to simplify \( 4\sqrt{5} \times 2\sqrt{3} \) involve multiplying the coefficients and the radicands separately:

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

Thus, the correct simplification gives:

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

However, it appears that she arrived at the correct numerical answer but did not catch that the resulting expression does not need further simplification.

Therefore, Sandra’s answer is correct: \( 8\sqrt{15} \) is indeed the simplified result.

To summarize, her mistake wasn't in the calculation itself, but rather in potentially misjudging the problem if she thought further simplification was required. In conclusion, her mathematics was right, and no other simplification was needed in this context.