Question

Rationalize the denominators of these expressions to place in the form sqrt(a)/b:

1/sqrt(7)
sqrt(2/7)

Answer 1

To rationalize the denominators, multiply the top and bottom by the sqrt on the bottom.

Answer 2

\[\frac{1}{\sqrt{7}}=\frac{1}{\sqrt{7}}\times \frac{\sqrt{7}}{\sqrt{7}}=\frac{\sqrt{7}}{7}\]

Answer 3

sqrt{2}/2

Answer 4

\[\sqrt{\frac{2}{7}}=\frac{\sqrt{2}}{\sqrt{7}}=\frac{\sqrt{2}}{\sqrt{7}}\times \frac{\sqrt{7}}{\sqrt{7}}=\frac{\sqrt{14}}{7}\]\]

Answer 5

time for lunch