Question

please tell how to calculate this-

Answer 1

Answer:

133/132

Step-by-step explanation

Hope its help you

Have a great day

Answer 2

Answer:

$\boxed{\sf \frac{331}{132}}$

Step-by-step explanation:

$\sf Simplify \: the \: following: \\ \sf \implies \sqrt[3]{ \frac{8}{27} } + \sqrt[3]{ \frac{1728}{1331} } + \sqrt[3]{ \frac{27}{64} } \\ \\ \sf \sqrt[3]{ \frac{8}{27} } = \frac{ \sqrt[3]{8} }{ \sqrt[3]{27} } : \\ \sf \implies \boxed{\frac{ \sqrt[3]{8} }{ \sqrt[3]{27} } } + \sqrt[3]{ \frac{1728}{1331} } + \sqrt[3]{ \frac{27}{64} } \\ \\ \sf \sqrt[3]{27} = \sqrt[3]{ {3}^{3} } = 3 : \\ \sf \implies \frac{ \sqrt[3]{8} }{ \boxed{3}} + \sqrt[3]{ \frac{1728}{1331} } + \sqrt[3]{ \frac{27}{64} } \\ \\ \sqrt[3]{8} = \sqrt[3]{ {2}^{3} } = 2 : \\ \sf \implies \frac{ \boxed{2}}{3} + \sqrt[3]{ \frac{1728}{1331} } + \sqrt[3]{ \frac{27}{64} }$

$\sf \sqrt[3]{ \frac{1728}{1331} } = \frac{ \sqrt[3]{1728} }{ \sqrt[3]{1331} } : \\ \sf \implies \frac{2}{3} + \boxed{\frac{ \sqrt[3]{1728} }{ \sqrt[3]{1331} } } + \sqrt[3]{ \frac{27}{64} } \\ \\ \sqrt[3]{1331} = \sqrt[3]{ {11}^{3} } = 11 : \\ \sf \implies \frac{2}{3} + \frac{ \sqrt[3]{1728} }{ \boxed{11}} + \sqrt[3]{ \frac{27}{64} } \\ \\ \sf \sqrt[3]{1728} = \sqrt[3]{ {2}^{6} \times {3}^{3} } = {2}^{2} \times 3 : \\ \sf \implies \frac{2}{3} + \frac{ \boxed{ {2}^{2} \times 3}}{11} + \sqrt[3]{ \frac{27}{64} } \\ \\ \sf {2}^{2} = 4 : \\ \sf \implies \frac{2}{3} + \frac{ \boxed{4} \times 3}{11} + \sqrt[3]{ \frac{27}{64} }$

$\sf 4 \times 3 = 12 : \\ \sf \implies \frac{2}{3} + \frac{ \boxed{12}}{11} + \sqrt[3]{ \frac{27}{64} } \\ \\ \sf \sqrt[3]{ \frac{27}{64} } = \frac{ \sqrt[3]{27} }{ \sqrt[3]{64} } : \\ \sf \implies \frac{2}{3} + \frac{12}{11} + \boxed{\frac{ \sqrt[3]{27} }{ \sqrt[3]{64} } } \\ \\ \sf \sqrt[3]{27} = \sqrt[3]{ {3}^{3} } = 3 : \\ \sf \implies \frac{2}{3} + \frac{12}{11} + \frac{ \boxed{3}}{ \sqrt[3]{64} } \\ \\ \sf \sqrt[3]{64} = \sqrt[3]{ {2}^{6} } = {2}^{2} : \\ \sf \implies \frac{2}{3} + \frac{12}{11} + \frac{3}{ \boxed{ {2}^{2} }} \\ \\ \sf {2}^{2} = 4 : \\ \sf \implies \frac{2}{3} + \frac{12}{11} + \frac{3}{ \boxed{ 4}} \\ \\ \sf Put \: \frac{2}{3} + \frac{12}{11} + \frac{3}{ 4} over \: the \: common \: denominator \: 132 : \\ \sf \implies \frac{2 \times 44}{132} + \frac{12 \times 12}{132} + \frac{3 \times 33}{132} \\ \\ \sf 2 \times 44 = 88 : \\ \sf \implies \frac{ \boxed{88}}{132} + \frac{12 \times 12}{132} + \frac{3 \times 33}{132} \\ \\ \sf 12 \times 12 = 144 : \\ \sf \implies \frac{88}{132} + \frac{ \boxed{144}}{132} + \frac{3 \times 33}{132}$

$\sf 3 \times 33 = 99 : \\ \sf \implies \frac{88}{132} + \frac{144}{132} + \frac{ \boxed{99}}{132} \\ \\ \sf \frac{88}{132} + \frac{144}{132} + \frac{99}{132} = \frac{88 + 144 + 99}{132} : \\ \sf \implies \frac{88 + 144 + 99}{132} \\ \\ \sf 88 + 144 + 99 = 331 : \\ \sf \implies \frac{331}{132}$