2.d Squares and SqRoots Flashcards
(27 cards)
What is the term used to describe “x”?
Base
What is the term used to describe “x”?
Exponent
What is the sq root of 16?
-4 and 4
What is a principal sq root?
The principal sq root is its non-negative sq root.
What is the principal sq root of 16?
4
The sq root of a positive number will be __________
Positive!
What is the general rule for multiplying powers with the same base?
(xᵃ) (xᵇ) = xᵃ⁺ᵇ
What is 3² x 3⁵ = ?
3² x 3⁵ = 3⁷
What is 10² x 10³ x 10⁶ = ?
10² x 10³ x 10⁶ = 10²⁺10³⁺10⁶ = 10¹¹
How else can you express
What is the quotient rule (to divide powers with the same base)?
xᵃ ÷ xᵇ = xᵃ⁻ᵇ
What is 8⁵ ÷ 8² = ?
8⁵ ÷ 8² = 8³
How else can you express this?
What would this equal?
Can you sq root a squared fraction and retrieve the original fraction?
Yes!
But only if x is non-negative (0 or greater) and if y is positive
What conditions must be satisfied for this to hold true?
x must be 0 or greater
y must be positive (exceed 0)
If 0 < x < 1, rank x, x² and sqrt(x) by size
What happens if you square a sqroot of a number?
The output will be the original number
What condition are required for this to apply?
Nonnegative number!
What would this equal?
How can you multiply two sq roots?
Multiply them under the same root
How else can this be expressed?
What is the product of sqrt(4) and sqrt(9)?
What is the product of…
