Question

If the cube root of 175616 is 56 then find the value of 3√175.616+3√0.175616+3√0.000175616

Answer 1

answer is 6.216. If any mistake is found,please inform

Answer 2

Hello,

I suppose that

$3\sqrt{175.616} \ means\ \sqrt[3]{175.616} \\\\ \sqrt[3] {175.616}+ \sqrt[3]{0.175616}+ \sqrt[3]{0.000175616}\\\\ =\sqrt[3] {\dfrac{175616}{1000}}+\sqrt[3] {\dfrac{175616}{1000000}}+\sqrt[3] {\dfrac{175616}{1000000000}}\\\\ =\sqrt[3] {(\dfrac{56}{10 } )^3}+\sqrt[3] {(\dfrac{56}{100 } )^3}+\sqrt[3] {(\dfrac{56}{1000 } )^3}\\\\ =\dfrac{56}{10 }+\dfrac{56}{100 }+\dfrac{56}{1000 }\\\\ =\dfrac{6216}{1000 }=6.216$