Question

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

Answer 1

`(√(48a^5b))/(√(12ab))=\frac{√(16*3)\cdot a^{(5)/(2)}\cdot b^{(1)/(2)}}{{√(4*3)}\cdot a^{(1)/(2)}b^{(1)/(2)}}=\frac{4√(3)\cdot a^{(5)/(2)}}{{2√(3)}\cdot a^{(1)/(2)}}=2a^{(5)/(2)-(1)/(2)}=2a^2`