Question

Решите плес ......................................

Answer 1

1) = $sqrt[5]{ frac{ a^{2}* a^{3} }{ 2^{5} } } = sqrt[5]{ frac{ a^{5} }{ 2^{5} } } = frac{a}{2}$
2) = $frac{1+ sqrt{3}(2+ sqrt{3}) }{2+ sqrt{3} } = frac{1+2 sqrt{3}+3 }{2+ sqrt{3} } = frac{2(2+ sqrt{3}) }{2+ sqrt{3} } =2$
3) = $sqrt{(37-20 sqrt{3})(37+20 sqrt{3}) }= sqrt{ 37^{2}- (20 sqrt{3}) ^{2} } = sqrt{1369- 1200}= sqrt{169}$=13
4) = $sqrt[7]{ frac{ 2^{7} z^{8} }{z^4} } = sqrt[7]{ 2^7*z^2 } = 2 sqrt[7]{z^2}$
5) = $sqrt[24]{ 2^{36}* 3^{24}* 7^{24} }/ sqrt{2} = 2^{ frac{26}{24}- frac{1}{2} } *3*7= 2^{ frac{13}{12} } *21=42 sqrt[12]{2}$