Question

Simplify : [ 5 ( 8⅓ + 27⅓ ) ]¼​

Answer 1

Answer:

$\sqrt{5}$

Step-by-step explanation:

${[5(8^{\frac{1}{3} }+{27}^{\frac{1}{3} } )]}^{\frac{1}{4} } \\\\=>{[5(\sqrt[3]{8} + \sqrt[3]{27} )]}^{\frac{1}{4} } \\\\=>{[5(\sqrt[3]{(2)(2)(2)} + \sqrt[3]{(3)(3)(3)} )]}^{\frac{1}{4} } \\\\=>{[5(2+3 )]}^{\frac{1}{4} }\\\\=>{(5\times 5)}^{\frac{1}{4} }\\\\=>{25}^{\frac{1}{4} } \\\\=>\sqrt[4]{25} \\\\=>\sqrt[4]{(5)(5)} \\\\=>\sqrt{5}$