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

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

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

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

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