Understanding Basic Algebra and Simplifying Square Roots

Why is it important to simplify algebraic expressions?

• To make them look more complex

• To express values in their simplest form

• To confuse the reader

• To increase the number of steps in a solution

What is the equivalent simplified form of the fraction 100/200?

• 1/5

• 1/3

• 1/4

• 1/2

What is the property used to simplify the square root of a product of two numbers?

• The sum of square roots

• The division of square roots

• The product of square roots

• The difference of square roots

Which of the following is a perfect square factor of 12?

• 2

• 3

• 4

• 6

What is the simplest form of the square root of 12?

• 6 * square root of 2

• 2 * square root of 3

• 3 * square root of 2

• 4 * square root of 1

Why is it important to identify perfect square factors when simplifying square roots?

• They make calculations more complex

• They are easier to memorize

• They help in finding exact values without a calculator

• They are always larger numbers

What is the square root of 4?

• 2

• 3

• 1

• 4

Which of the following is NOT a perfect square?

• 9

• 16

• 25

• 20

What should you do if you find a perfect square factor in a number?

• Multiply it by another factor

• Use it to simplify the square root

• Divide it by 2

• Ignore it

What is the principal square root of 16?

• 5

• 2

• 3

• 4