Don’t make this mistake please

The video tutorial explains why the square root cannot be distributed over addition or subtraction. It uses an example to illustrate a common misconception where students incorrectly simplify expressions like sqrt(X^2 + 4) as X + 2. The correct approach is demonstrated by simplifying the expression under the square root first, showing that sqrt(13) is not equal to 5, thus highlighting the importance of proper simplification techniques.

Why can't you distribute the square root over addition or subtraction?

• Because it is easier to calculate

• Because it is a rule of algebra

• Because it makes the expression longer

• Because it changes the value of the expression

If X equals 3, what is the incorrect way to simplify sqrt(9) + sqrt(4)?

• 3 + 2

• sqrt(13)

• 5

• sqrt(9 + 4)

What is the result of sqrt(9) + sqrt(4) if calculated incorrectly?

• 7

• 5

• 6

• 13

What is the correct simplification of sqrt(9 + 4)?

• sqrt(9) + sqrt(4)

• 3 + 2

• sqrt(13)

• 5

What is the value of sqrt(13)?

• Approximately 3.6

• 4

• 5

• 3