To simplify \( \frac{140}{\sqrt{2}} \), we can eliminate the square root in the denominator by multiplying both the numerator and denominator by \( \sqrt{2} \):

\[
\frac{140}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \frac{140 \sqrt{2}}{2} = 70 \sqrt{2}
\]

So, the simplified form is:

\[
70 \sqrt{2}
\]

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### Related Questions
1. How do you rationalize a denominator with different square roots?
2. What is the exact decimal value of \( 70 \sqrt{2} \)?
3. How can we generalize the process of rationalizing denominators?
4. How would we simplify \( \frac{a}{\sqrt{b}} \) for arbitrary values of \( a \) and \( b \)?
5. Why do we prefer rationalizing denominators in mathematical expressions?

**Tip:** Rationalizing the denominator makes expressions easier to work with in many mathematical contexts.

Learn how to simplify and rationalize the expression \( \frac{140}{\sqrt{2}} \) with a step-by-step solution. This guide covers key concepts like rationalization of denominators and square root properties, making it suitable for students in Grades 8-10.

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