Rationalize the denominator of the expression.
StartFraction 35 Over StartRoot 10 EndRoot EndFraction

To rationalize the denominator of the expression \( \frac{35}{\sqrt{10}} \), follow these steps:

1. **Multiply both the numerator and the denominator by \( \sqrt{10} \):**

   \[
   \frac{35}{\sqrt{10}} \times \frac{\sqrt{10}}{\sqrt{10}} = \frac{35\sqrt{10}}{10}
   \]

2. **Simplify the expression:**

   \[
   \frac{35\sqrt{10}}{10} = 3.5\sqrt{10}
   \]

Thus, the rationalized form of \( \frac{35}{\sqrt{10}} \) is \( 3.5\sqrt{10} \).

Would you like further clarification on any of the steps or concepts?

Here are five related questions for practice:
1. Rationalize the denominator of \( \frac{15}{\sqrt{5}} \).
2. Simplify \( \frac{20}{\sqrt{3}} \).
3. How would you rationalize the expression \( \frac{25}{\sqrt{12}} \)?
4. What is the result of rationalizing \( \frac{50}{\sqrt{2}} \)?
5. Can you simplify \( \frac{12}{\sqrt{8}} \)?

**Tip:** When rationalizing a denominator, always multiply by a form of 1 that removes the square root from the denominator!

Rationalize the denominator of the expression: 35 / √10

Learn how to rationalize the denominator of 35 / √10 with a step-by-step guide. This solution simplifies the expression by eliminating the square root in the denominator, using core algebraic concepts such as simplifying radicals. Ideal for students in Grades 8-10.

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