A homework question recently asked for me to simplify:
$\frac{1}{\sqrt{7}} \div {7}$
It's easy to see that this becomes
$\frac{1}{7\sqrt{7}}$
But according to wolfram alpha this is also equal to $\frac{\sqrt{7}}{49}$.
What sequence of steps can I use to get the second representation of this quantity from the first?
Answer
$\dfrac{1}{\sqrt{7}}\div7=\dfrac{1}{7\sqrt{7}}=\dfrac{1}{7\sqrt{7}}\cdot\dfrac{\sqrt{7}}{\sqrt{7}}=\dots$
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