Question

Check all which apply: A radical is in simplest form when
A. There are no perfect squares contained in the radical.
B. There are no radicals in the denominator of a fraction.
C. You have estimated it to the nearest tenth.
D. You have squared it.
Select that all apply

Answer 1

A,B. I don't think C or D.

Answer 2

B - there can never be a radical in the denominator

Answer 3

hmm

Answer 4

hmm

Answer 5

A makes sense too though:/

Answer 6

i can choose more then 1

Answer 7

Then you should pick a & b
If there is a perfect square you have to find the square root. And its impossible for it to be simplified if there is a radical in the denominator.

Answer 8

ok

Answer 9

\[ \small{ \text{A. There are no perfect squares contained in the radical.} \\
\quad \color{green}{ \textbf{ This is true. } \text{ If the radical contains perfect squares, then it can be simplified still.} } \\
\text{B. There are no radicals in the denominator of a fraction.} \\
\quad \color{green}{ \textbf{ This is true. } \text{ Conventionally, we do not allow square roots in the denominator.} } \\
\text{C. You have estimated it to the nearest tenth.} \\
\quad \color{red}{ \text{ This is falce. If you estimate it, it is no longer a radical. } } \\
\text{D. You have squared it.} \\
\quad \color{red}{ \text{ This is false. If you square it, you change the actual value of the expression. } } } \]