Question

en fracciones cual es el resultado de √1/343 × √1/49

Answer 1

$\sqrt{ \frac{1}{343}}* \sqrt{ \frac{1}{49}}= \sqrt{ \frac{1}{343}* \frac{1}{49}}= \sqrt{ \frac{1*1}{343*49}}= \sqrt{ \frac{1}{16807}} \\ \\ \sqrt{ \frac{1}{16807}}= \frac{ \sqrt{1}}{ \sqrt{16807}}= \frac{1}{ \sqrt{16807}}= \frac{1}{ \sqrt{7^{5}}}= \frac{1}{49 \sqrt{7}} \\ \\ \frac{1}{49 \sqrt{7}}= \frac{1 \sqrt{7}}{49 \sqrt{7}* \sqrt{7}}= \frac{ \sqrt{7}}{49*7}= \boxed{ \frac{ \sqrt{7}}{343}}$