Introduction To Radicals Flashcards
(22 cards)
What is a Radical?
It represents the square root, meaning it asks, “What number multiplied by itself equals the number inside the √?
What does the radical symbol represent?
The radical is in the square root sign.
What is the default index when no number is present in the radical?
We treat it as if there were a two by default.
What is a Radicand?
The number inside the radical symbol.
What are Entire Radicals?
When everything stays inside the radical sign.
What are Mixed Radicals?
When part of the number is outside the square root, and part is inside.
What is an example of an Entire Radical?
Examples include √25, √81, √60, √X, √(2x+1).
How do you simplify Radicals?
You can factor them out to simplify.
How do you add Radicals?
Take the coefficient and add the radicands if they are the same.
What is an example of adding Radicals?
For example, 3√13 + 2√13 = 5√13.
How do you subtract Radicals?
You can only subtract radicals if the numbers inside the square root are the same—then just subtract the numbers in front.
What is an example of subtracting Radicals?
For example, √(8) - √(3) = √(5).
What is the form called when part of the number is outside the square root?
This form is called a mixed Radical.
When can you multiply radicals?
You can only multiply radicals if the index is the same.
What is the index of square roots?
The index of square roots is 2, even if it isn’t shown.
What is the index of cube roots?
The index of cube roots is 3.
Is √15 a cube root?
No, √15 is not a cube root unless the index is 3.
What is the product of √3 and √5?
√3 * √5 = √15
What is the product of √9 and √7?
√9 * √7 = √63
How can you simplify √90?
√90 = √(9 * 10) = √9 * √10 = 3√10
What is the simplified form of √135?
√135 = √(9 * 15) = √9 * √15 = 3√15
What is the product of √58 and √5?
√58 * √5 = √290
