# Q30, Simplify and Combine Radical Expressions | Summary and Q&A

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October 26, 2016
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blackpenredpen
Q30, Simplify and Combine Radical Expressions

## TL;DR

The video explains how to simplify radical expressions by breaking down the numbers and variables within the square roots.

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### Q: How do you simplify the expression sqrt(8)?

To simplify sqrt(8), you can break it down into sqrt(4) * sqrt(2) because 4 is a perfect square factor of 8. This simplifies to 2 sqrt(2).

### Q: What is the simplified form of sqrt(32)?

To simplify sqrt(32), you can break it down into sqrt(16) * sqrt(2) because 16 is a perfect square factor of 32. This simplifies to 4 sqrt(2).

### Q: How do you simplify sqrt(50)?

To simplify sqrt(50), you can break it down into sqrt(25) * sqrt(2) because 25 is a perfect square factor of 50. This simplifies to 5 sqrt(2).

### Q: What happens to the variables when simplifying radical expressions?

The variables follow the same rules as the numbers. You divide the exponent of the variable by the index of the square root to determine its simplified form.

## Summary & Key Takeaways

• The video demonstrates how to simplify the expression sqrt(8) by identifying perfect square factors and simplifying them separately.

• It shows how to simplify the expression sqrt(32) by finding the perfect square factor and simplifying it with the existing variables.

• The video also simplifies the expression sqrt(50) by identifying the perfect square factor and simplifying it along with the variables.