Question

simplify $\frac{(243)-2/3 (32)-1/5}{\sqrt{196}-1}$


Simplify it, actually when simplifying 196 after taking it up, there left no sign on it but when my Sir simplify it from ($2^{2}$ and $7^{2}$), my sir put 1/2 sign on it also, i don't, know why, and it's important, to simplify!!!

Answer 1

Answer:

$\huge {\frac{(243)- \frac{2}{3} (32)- \frac{1}{5} }{\sqrt{196}-1}} \\ \\ \huge {= \frac{ \frac{243 \times 15 - (2 \times 5 \times 32) - 3}{15} }{14 - 1}} \\\\\huge{ = \frac{3645 - 320 - 3}{13 \times 15}} \\ \\ \huge{ = \frac{3645 - 323}{195} } \\ \\ \huge{= \frac{3322}{195}} \\ \\ \huge{ = 17 \frac{7}{195}}$