Subtracting radical numbers after simplifying

The video tutorial explains how to combine radicals by ensuring they are like terms. It starts with an introduction to the problem, highlighting that sqrt 98 and sqrt 32 are not like terms. The teacher then demonstrates simplifying radicals using the product rule, breaking down sqrt 98 and sqrt 32 into simpler components. Once simplified, the radicals can be combined as like terms, similar to combining variables. The lesson concludes with the teacher expressing fatigue and apologizing for the lengthy explanation.

Why can't sqrt 98 and sqrt 32 be directly combined?

• They are not like terms.

• They are both odd numbers.

• They are both even numbers.

• They are already simplified.

What is the first step in simplifying sqrt 98?

• Rewrite it as sqrt 50 * 2.

• Rewrite it as sqrt 100 - 2.

• Rewrite it as sqrt 25 * 4.

• Rewrite it as sqrt 49 * 2.

How is sqrt 32 simplified in the lesson?

• As 2 * 4^2.

• As 4 * 2^2.

• As 8 * 2.

• As 16 * 2.

What is the result of combining 7 sqrt 2 and -8 sqrt 2?

• Positive sqrt 2

• Negative 2 sqrt 2

• Zero

• Negative sqrt 2

What analogy is used to explain combining radicals?

• Radicals are like variables.

• Radicals are like fractions.

• Radicals are like decimals.

• Radicals are like integers.