Question

The greatest among$^6\sqrt{100}$and$^3\sqrt{12}$and$\sqrt3$ is:

• A. $$^6\sqrt{100}$$
• B. $$^3\sqrt{12}$$
• C. $$\sqrt3$$
• D. Cannot be determined

Answer 1

Answer:

$$^3\sqrt{12}$$

$^6\sqrt{100},^3\sqrt{12},\sqrt3$

$(100)^{1/6},((12)^{1/3},(3)^{1/2}$

Take the lcm of 6,3,2 = 12

$(100)^{12/6},(12)^{12/3},(3)^{12/2}$

$100^2, 12^4, 3^6$

$10000, 20736, 729$