Question

State whether the following is a compound surds

2$\sqrt[2]{228}$ + $\sqrt[2]{2175}$ + 3$\sqrt[2]{263}$

• A. True
• B. False

Answer 1

The correct option is B

False

Given epression 2$\sqrt[2]{228}$ + $\sqrt[2]{2175}$ + 3$\sqrt[2]{263}$ can be written as

2$\sqrt[2]{2\left(4\right)\left(7\right)}$ + $\sqrt[2]{2\left(25\right)\left(7\right)}$ + 3$\sqrt[2]{2\left(9\right)\left(7\right)}$

= 2$\times$2$\sqrt[2]{27}$ + 5$\times$$\sqrt[2]{27}$ + 3$\times$3$\sqrt[2]{27}$

= 4$\sqrt[2]{27}$ + 5$\sqrt[2]{27}$ + 9$\sqrt[2]{27}$

= 18$\sqrt[2]{27}$

hence it is a single surd