Question

Find the value of given expression

3$\sqrt[3]{348}$ -2 $\sqrt[2]{2108}$ + 2$\sqrt[2]{275}$

• A. 16$\sqrt[2]{23}$
• B. 28$\sqrt[2]{23}$
• C. 4$\sqrt[2]{23}$
• D. 8$\sqrt[2]{23}$

Answer 1

The correct option is A

16$\sqrt[2]{23}$

3$\sqrt[2]{248}$ - 2$\sqrt[2]{2108}$ + 2$\sqrt[2]{275}$

= 3$\sqrt[2]{2\left(16\right)\left(3\right)}$ - 2$\sqrt[2]{2\left(36\right)\left(3\right)}$ + 2$\sqrt[2]{2\left(25\right)\left(3\right)}$

= 3$\times$4$\sqrt[2]{23}$ - 2$\times$6$\sqrt[2]{23}$ + 2$\times$5$\sqrt[2]{23}$

= 12$\sqrt[2]{23}$ - 6$\sqrt[2]{23}$ + 10$\sqrt[2]{23}$

16$\sqrt[2]{23}$