Question

Square root of 48a^5 *b over square root of 12ab. Simplified

Answer 1

$\frac{\sqrt{48a^5b}}{\sqrt{12ab}}=\frac{\sqrt{16\times3}\cdot a^{\frac{5}{2}}\cdot b^{\frac{1}{2}}}{{\sqrt{4\times3}}\cdot a^{\frac{1}{2}}b^{\frac{1}{2}}}=\frac{4\sqrt{3}\cdot a^{\frac{5}{2}}}{{2\sqrt{3}}\cdot a^{\frac{1}{2}}}=2a^{\frac{5}{2}-\frac{1}{2}}=2a^2$