Square Roots and Radicals 2

In this lesson, we learn how to find square roots of variable expressions. We look at variables with different exponents and learn how to simplify them using the laws of exponents. We also learn that a variable with an even exponent is a perfect square, and when we take the square root of it, we get the same variable with half the exponent. We practice simplifying expressions with perfect squares and variables with even exponents, and we are introduced to the idea of irrational numbers and how to approximate them.

Learn to find square roots of variable expressions.

• How do you square variables with exponents?
• What is x^2 squared?
• How do you find the square root of a variable to an exponent?
• Why is the square root of x^6 equal to |x^3|?
• Why does the square root of x^16 equal x^8?
• Why is a variable with an even exponent a perfect square?
• How do you find the square root of a variable expression?
• What is the square root of 9m^8n^4y^2?
• What is an irrational number?
• When is a square root irrational?