Algebra to remember when evaluating sum and difference formulas

The video addresses common mistakes students make with square roots, particularly the incorrect application of breaking up terms under a radical when dealing with addition or subtraction. It emphasizes the importance of following the order of operations (PEMDAS) and clarifies that while multiplication and division can be separated under a radical, addition and subtraction cannot. The tutorial aims to correct these misconceptions and reinforce the correct application of mathematical rules.

What is a common mistake students make when they see a square root involving subtraction?

• They attempt to split the subtraction into separate square roots.

• They ignore the square root entirely.

• They try to add the numbers first.

• They multiply the numbers under the square root.

According to the order of operations, what should be done first when dealing with a square root involving subtraction?

• Multiply the numbers first.

• Add the numbers first.

• Apply the square root to each number separately.

• Subtract the numbers first, then apply the square root.

Why can multiplication be split under a square root, unlike addition or subtraction?

• Because it is a common mistake.

• Because multiplication is easier to calculate.

• Because it follows the rules of radicals.

• Because it is not allowed.

Which of the following operations can be split under a square root?

• Addition

• Subtraction

• Multiplication

• None of the above

What should students remember about handling operations under radicals?

• Ignore the order of operations.

• Always split addition and subtraction.

• Only split multiplication and division.

• Apply the square root to each number separately.