Rationalize the denominator. $\sqrt { \frac { 3 } { 28 } }$
A) $\frac { \sqrt { 7 } } { 2 }$
B) $\frac { \sqrt { 21 } } { 2 }$
C) $\frac { \sqrt { 84 } } { 14 }$
D) $\frac { \sqrt { 21 } } { 14 }$
E) $\frac { \sqrt { 3 } } { 2 }$

Question

Quizplus · Accepted Answer

To rationalize the denominator, multiply the numerator and the denominator by $\sqrt{28}$. This gives $\sqrt{\frac{3 \times 28}{28 \times 28}} = \frac{\sqrt{84}}{28}$. Simplifying $\sqrt{84}$ gives $\sqrt{4 \times 21} = 2\sqrt{21}$, so the expression becomes $\frac{2\sqrt{21}}{28} = \frac{\sqrt{21}}{14}$.

Rationalize the Denominator 328\sqrt { \frac { 3 } { 28 } }283​​

Rationalize the Denominator $\sqrt { \frac { 3 } { 28 } }$