Questions: sqrt(144xy)/(2sqrt(2))

Solution Steps

To simplify the given expression, first evaluate the square root of the numerator. Then, divide the result by the denominator. Finally, simplify the expression by taking any possible roots.

The numerator of the expression is given by: \[ \sqrt{144xy} = \sqrt{144} \cdot \sqrt{x} \cdot \sqrt{y} = 12\sqrt{xy} \]

The denominator is: \[ 2\sqrt{2} \]

Now, we can simplify the entire expression: \[ \frac{\sqrt{144xy}}{2\sqrt{2}} = \frac{12\sqrt{xy}}{2\sqrt{2}} = \frac{12}{2} \cdot \frac{\sqrt{xy}}{\sqrt{2}} = 6 \cdot \frac{\sqrt{xy}}{\sqrt{2}} = 6\frac{\sqrt{xy}}{\sqrt{2}} = 3\sqrt{2}\sqrt{xy} \]

Final Answer