Question

Find the value of $\sqrt{\frac{289}{484}}$

• A. $\frac{17}{22}$
• B. $\frac{17}{28}$
• C. $\frac{13}{22}$
• D. $\frac{13}{28}$

Answer 1

The correct option is A $\frac{17}{22}$

We have $\sqrt{\frac{289}{484}}$
Now, we find the square roots of $289and484$ separately.
$\mid 17\overline{1\mid \overline{2}\overline{89}}\mid -1\overline{27\mid 189}\mid -189\overline{\mid 0}$ $\mid 22\overline{2\mid \overline{4}\overline{84}}\mid -4\overline{42\mid 84}\mid -84\overline{\mid 0}$

Thus, $\sqrt{289}=17,\sqrt{484}=22$.

So, $\sqrt{\frac{289}{484}}=\frac{17}{22}$.