Question

$^{6} sqrt{11 frac{25}{64} }$
$^{3} sqrt{ frac{64 times 27}{125} }$
$^{3} sqrt{0.027}$
$^{5} sqrt{ frac{3 ^{10} times 5 ^{5} }{7 ^{10} } }$
помогитеееее пж

Answer 1

$1) ^{6} sqrt{11 frac{25}{64} } = ^{6} sqrt{ frac{729}{64} } = sqrt[6]{ frac{ 3^{6} }{ 2^{6} } } = frac{3}{2} = 1 frac{1}{2}$

$2) ^{3} sqrt{ frac{64 times 27}{125} } = sqrt[3]{ frac{ 4^{3} * 3^{3} }{ 5^{3} } } = frac{4*3}{5} = frac{12}{5}$

$3) ^{3} sqrt{0.027} = sqrt[3]{0,3^3} = 0,3$

$5) ^{5} sqrt{ frac{3 ^{10} times 5 ^{5} }{7 ^{10} } } = ^{5} sqrt{ frac{(3 ^2)^5 times 5 ^{5} }{(7 ^{2)^5 } } }= frac{ 3^{2} * 7^{2} }{5} = frac{9*49}{5} = frac{441}{5}$