Question

√48a^4 b^5 c^3 d simplify and keep it in radical form

Answer 1

I will assume the square root extends all the way across.


`√(48a^4b^5c^3)`


`√(2^4\cdot3\cdot a^4b^5c^3)`


`√((2^2)^2\cdot3\cdot(a^2)^2\cdot(b^2)^2\cdot b\cdot c^2\cdot c)`


`√((4)^2\cdot3\cdot(a^2)^2\cdot(b^2)^2\cdot b\cdot c^2\cdot c)`


`√((4\cdot a^2 \cdot b^2 \cdot c)^2\cdot3\cdot b\cdot c)`


`4\cdot a^2\cdot b^2\cdot c√(3\cdot b\cdot c)`


`\boxed{4a^2b^2c√(3bc)}`