Question

`x^(2) y^(2) \sqrt{750x^(3)y^(9) }`

Answer 1

`x^2y^2√(750x^3 y^9)\qquad \begin{cases} 750=5\cdot 5\cdot 5\cdot 6\\ \qquad 5^2\cdot 30\\ x^3=x^(2+1)\\ \qquad x^2\cdot x\\ y^9=y^(4\cdot 2+1)\\ \qquad y^(4\cdot 2)\cdot y\\ \qquad (y^4)^2\cdot y \end{cases}\implies x^2y^2√(5^2\cdot 30\cdot x^2\cdot x(y^4)^2 y) \\\\\\ 5xy^4 x^2 y^2√(30xy)\implies 5x^3y^6√(30xy)`