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kolezko [41]
2 years ago
9

A student was solving the problem below. Look at their work and find the error.

Mathematics
1 answer:
rodikova [14]2 years ago
8 0

The error is in line 3.

Specifically, the error is when the student went from \sqrt{9} to simply 9 without a square root over top. The \sqrt{9} should simplify to 3.

Here's what the student should have done in terms of a step-by-step picture.

\underline{\text{Line 1:}} \ \ \ 2\sqrt{45}-3\sqrt{5}\\\\\underline{\text{Line 2:}} \ \ \ 2\sqrt{9}*\sqrt{5}-3\sqrt{5}\\\\\underline{\text{Line 3:}} \ \ \ 2*3*\sqrt{5}-3\sqrt{5}\\\\\underline{\text{Line 4:}} \ \ \ 6\sqrt{5}-3\sqrt{5}\\\\\underline{\text{Line 5:}} \ \ \ 3\sqrt{5}\\\\

The simplified final answer is 3\sqrt{5}

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