HMCS Max Bernays Pre-Deployment Brief (May 2024).pptx
Radical operations questions
1.
2. Radical Expressions are called common if their radicands, the
terms under the radical sign, have the same value.
Common Radicals Not Common
Radicals
4 3 and 5 3 4 3 and 4 5
3. Question 1:
Mari and Justin’s math teacher put two radical expressions on the board,
3 10 and 5 2 + 8
Mari said the two expressions were common radical expressions but
Justin disagreed. Who is correct? Explain why they are correct.
8. Radical expressions without common radicals cannot be added or
subtracted.
Example:
However, sometimes radical expressions without common radicals
become common radicals when simplified.
Example:
10. Question 4:
Agent J and Agent K ran into Zargar from planet Zultar. Zargar said that
since 𝑥 and 𝑦 can be any number then, 2 𝑥 + 3 𝑦 = 5 𝑥 + 𝑦
Is Zargar correct? Explain why or why not.
11.
12. Unlike adding and subtracting radical expressions, you do not
need common radicals to multiply or divide radical expressions.
To multiply, you simply multiply the numbers outside the radical
together and then multiply the numbers inside the radical.
Example:
15. Sometimes when you multiple two radical expressions perfect
square factors are the result. For that reason, it is usually best
when combining the numbers in the radical to leave them factored
until the very end.
Example,
16. Question 6:
Carmen multiplied 5 together with another radical and got a result
whose radical was 2. Lynn said that was impossible. Who is right?
Show that you are right saying who is right.
17.
18. Similar to multiplying radicals, to divide you simply divide the
numbers outside the radical and then divide the numbers inside
the radical.
Example:
19. If a radical remains in the denominator, you rationalize the
denominator as follows,
𝑥 + 1
𝑥
=
𝑥 + 1
𝑥
∙
𝑥
𝑥
=
𝑥(𝑥 + 1)
𝑥2
=
𝑥 𝑥 + 1
𝑥
