Question

Cube√968 multiplied with cube√1375 =?
With steps

Answer 1

Answer:

$\sqrt[3]{968}*\sqrt[3]{1375}=110$

Step-by-step explanation:

$\sqrt[3]{968}*\sqrt[3]{1375}$

$=\sqrt[3]{968*1375}$

$=\sqrt[3]{(2*484)*(5*275)}$

$=\sqrt[3]{(2*2*242)*(5*5*55)}$

$=\sqrt[3]{(2*2*2*121)*(5*5*55)}$

$=\sqrt[3]{(2*2*2*11*11)*(5*5*5*11)}$

$=\sqrt[3]{2^3*5^3*11^3}$

$=\sqrt[3]{(2*5*11)^3}$

$=\sqrt[3]{110^3}$

$=110$

$\implies\:\sqrt[3]{968}*\sqrt[3]{1375}=110$