Question

Rút gọn rồi tính

\(2\sqrt{\left(-5\right)^6}+3\sqrt{\left(-2\right)^8}\)

Answer 1

\(2\sqrt{\left(-5\right)^6}+3\sqrt{\left(-2\right)^8}.\)

\(=2\sqrt{\left(\left(-5\right)^3\right)^2}+3\sqrt{\left(\left(-2\right)^4\right)^2}\)

\(=2\cdot\left(-5\right)^3+3\cdot\left(-2\right)^4\)

\(=2\cdot125+3\cdot16=250+48=298\)

\(\Rightarrow2\sqrt{\left(-5\right)^6}+3\sqrt{\left(-2\right)^8}=298\)

Answer 2

\(2\sqrt{\left(-5\right)^6}+3\sqrt{\left(-2\right)^8}\)

\(=2\times125+3\times16\)

\(=250+48\)

\(=298\)