Question 14

What is the simplified value of $$2\sqrt[3]{243}+3\sqrt[3]{9}-\sqrt[3]{1125}$$ ?

Solution

Expression : $$2\sqrt[3]{243}+3\sqrt[3]{9}-\sqrt[3]{1125}$$

= $$2\sqrt[3]{27\times9}+3\sqrt[3]{9}-\sqrt[3]{125\times9}$$

= $$6\sqrt[3]9+3\sqrt[3]9-5\sqrt[3]9$$

= $$4\sqrt[3]9$$

=> Ans - (B)


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