ABC26GN1485 · Square Roots and Cube Roots

Let the number be $x$. $$\begin{aligned} & \sqrt{(27 \div 5 \times x) \div 15}=5.4 \div 6+0.3 \\ & \Rightarrow \sqrt{\frac{(27 \div 5 \times x)}{15}}=\frac{5.4}{6}+0.3 \\ & \Rightarrow \sqrt{\frac{27 \times x}{5 \times 15}}=\frac{5.4}{6}+0.3 \\ & \Rightarrow \sqrt{\frac{9 \times x}{5 \times 5}}=0.9+0.3 \\ & \Rightarrow \frac{3}{5} \sqrt{x}=1.2 \\ & \Rightarrow \sqrt{x}=\frac{1.2 \times 5}{3}=2 \Rightarrow x=(2)^{2} \\ & \Rightarrow x=2 \times 2=4^{2} \end{aligned}$$