1. Stating the problem: Find the integer value of $$\frac{\sqrt{90}}{\sqrt{10}}$$. 2. Use the property of square roots that $$\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$$. 3. Apply this property: $$\frac{\sqrt{90}}{\sqrt{10}} = \sqrt{\frac{90}{10}}$$ 4. Simplify the fraction inside the square root: $$\sqrt{\frac{90}{10}} = \sqrt{9}$$ 5. Evaluate the square root of 9: $$\sqrt{9} = 3$$ 6. Therefore, the integer value is 3.