Question

A student's work to simplify a radical is shown below. Select the statement which best applies to the sample

mathematical work.
13
6
= X
= X
Thus,
A. The equality /13 x? is incorrect or invalid.
B. Removing the x from under the radical in the second step is incorrect or invalid.
C. The work shown above is correct, however, V7 may be simplified further.
D. The work shown above is correct, and
xVx? may not be simplified further.

Answer 1

The The answer is 13 by the end

Answer 2

The statement that best applies to the sample mathematical work is this:C. The work shown above is correct, however, y⁵.4√y³ may be simplified further

What is the best statement?

While the overall work follows logically, the expression, y⁵.4√y³ can be simplified further. To solve radicals, look for the largest perfect square that divides evenly into the radicand.

Factor out the perfect square, and bring it outside the radical while simplifying the remaining radicand. Repeat this process if possible with the remaining radicand. So, for the above solution by the student, y⁵.4√y³ may be simplified further to y¹³/².