Square Root Me!
sqrt(256)
16
Can the cube of a number be negative? Why or why not?
Yes, because a negative times a negative times a negative is negative.
What thing is square root like in order of operations?
It is like parenthesis because it is a grouping symbol
What mathematician discovered the famous theorem about the relationship between the lengths of the sides of a right triangle?
Pythagoras
Define a rational number. Give an example.
A number that can be written as the quotient of two integers.
Find the square roots of the number: 169
plus or minus 13
Find the cube root: 512
8
What does the product property of square roots allow me to do?
Split a square root between factors, taking the square root of each factor.
In the theorem stating a2 + b2 = c2 what do a, b, and c represent? (Be specific)
a and b are legs of a right triangle, c is the hypoteneuse
How can you tell if a number is not a rational number?
The decimal neither terminates or repeats
When do you include both the negative and positive square root in your answer for a square root problem?
When the radical sign is not included in the problem, you must include both the negative and positive square roots.
What is the cube root of 1728?
12
Simplify:
sqrt(98)
7sqrt(2)
Find the hypotenuse of a right triangle with legs of lengths 10 and 24.
26
State the distance formula
sqrt((x2-x1)^2 + (y2-y1)^2)
Find the square roots of 324.
plus or minus 18
Find the cube root of 2222 to the nearest tenth.
13.0
Simplify
sqrt(x/64)
sqrt(x)/8
Find the length of one of the legs if the other leg measures 12 and the hypotenuse is 14 in a right triangle. Simplify your answer.
2sqrt(13)
State the midpoint formula
[(x1 + x2)]/2 and [(y1+y2)]/2
Define square root
A number times itself such that it equals another number
What is (-6)3
-216
Simplify:
sqrt[(28x^2)/9]
[2xsqrt(7)]/3
Determine if the triangle is a right triangle if the lengths of the sides are 8, 16, and 18
no
Find the distance between (1.2, 2) and (8.7, 6)
8.5