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)

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 poi class=

Respuesta :

The error is in line 3.

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

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

[tex]\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}\\\\[/tex]

The simplified final answer is [tex]3\sqrt{5}[/tex]