Question

Simplify the expression

Answer 1

$\bf 5xy\sqrt{28x}+\sqrt{63x^3y^2}\qquad \begin{cases} 28\to 2\cdot 2\cdot 7\to 2^2\cdot 7\\ ----------\\ 63\to 3\cdot 3\cdot 7\to 3^2\cdot 7\\ x^3\to x\cdot x\cdot x\to x^2\cdot x \end{cases}\\\\ -----------------------------\\\\ 5xy\sqrt{2^2\cdot 7\cdot x}+\sqrt{3^2\cdot 7\cdot x^2\cdot x\cdot y^2} \\\\\\ 5xy\cdot 2\sqrt{7x}+3\cdot x\cdot y\sqrt{7x}\implies 10xy\sqrt{7x}+3xy\sqrt{7x} \\\\\\ 13xy\sqrt{7x}$