Question

ВЫЧИСЛИТЕ
Помагите даю 50 баллов

Answer 1

$\sqrt{ \frac{ 34^{2}- 9^{2} }{387} } = \sqrt{ \frac{(34-9)(34+9)}{387} } = \sqrt{ \frac{25*43}{387} }= \sqrt{ \frac{25}{9} }= \frac{5}{3}=1 \frac{2}{3} \\\\ \sqrt{ \frac{464}{ 39^{2}-10 ^{2} } } = \sqrt{ \frac{464}{(39-10)(39+10)} } = \sqrt{ \frac{464}{29*49} }= \sqrt{ \frac{16}{49} }= \frac{4}{7}\\\\ \sqrt{ \frac{ 69^{2} - 12^{2} }{ 89^{2}- 32^{2} } }= \sqrt{ \frac{(69-12)(69+12)}{(89-32)(89+32)} } = \sqrt{ \frac{57*81}{57*121} } = \sqrt{ \frac{81}{121} } = \frac{9}{11}$

$\sqrt{ \frac{ 128^{2}- 41^{2} }{ 156^{2}- 69^{2} } }= \sqrt{ \frac{(128-41)(128+41)}{(156-69)(156+69)} }= \sqrt{ \frac{87*169}{87*225} } = \sqrt{ \frac{169}{225} }= \frac{13}{15}$