Question

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

.
• Identify which line the error is in (1 point)
Describe the error that was made (1 point)
• State what the correct answer should be (1 point)

Answer 1

The error is in line 3.

Specifically, the error is when the student went from
`√(9)` to simply
`9` without a square root over top. The
`√(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√(45)-3√(5)\\\\\underline{\text{Line 2:}} \ \ \ 2√(9)*√(5)-3√(5)\\\\\underline{\text{Line 3:}} \ \ \ 2*3*√(5)-3√(5)\\\\\underline{\text{Line 4:}} \ \ \ 6√(5)-3√(5)\\\\\underline{\text{Line 5:}} \ \ \ 3√(5)\\\\`

The simplified final answer is
`3√(5)`