Square Roots and cube roots
What buttons do you push on your calculator to get a cube root?
3, 2nd, ^
Estimate √10 to the nearest whole number
3.2
Why is 3.6 rational but 3.65487912... irrational
Because 3.6 is a terminating decimal that can be turned into a fraction.
3.65487912... goes on forever and cannot be turned into a fraction.
What is the formula for the Pythagorean Theorem?
a2 + b2 = c2
What is the longest side of a right triangle called?
Hypotenuse
Is the square root of 625 a perfect square? How do you know?
Yes, the square root of 625 will result in a whole number. 25 x 25 = 625.
√34 to the nearest tenth?
5.8
Is 31.4564778.... rational?
No, it cannot be turned into a fraction
When one leg=3 and the other leg=4 then the hypotenuse=?
5
In the Pythagorean Theorem, letters "a" and "b" are used to represent which part of a right triangle?
legs
x^3=27
find x
x=3
√5 is between what two numbers?
2 and 3
Is -365 rational or irrational? Why?
Rational because it is an integer (whole number that's negative) and can be turned into a fraction
When one leg=5 and the other leg=6 then the hypotenuse=? (Round answer to the nearest tenth)
7.8
How do you say this in mathematical terms, " x2 "
pick one of two ways
" x squared"
"x to the power of 2"
x^2=81
What is x?
9
√45 is between what two numbers?
6 and 7
Sally noticed that when she typed in 2/3 in her calculator as a decimal, she obtained 0.6666667 a terminating decimal. However, Sally remembered her AMAZING math teachers Mrs. Cornish, Mrs. Simon, and Ms. Blalock say that 2/3 is a repeating decimal?
Because the calculator automatically rounds the last digit of a 6 up to a 7.
Find the distance between the points. Round your answer to the nearest tenth.
(1,3), (4,1)
3.6
The only type of triangle for which the Pythagorean Theorem is true.
Right triangle (one that contains a 90 degree angle)
what is the √9/16 as a decimal?
0.75
√134 is between what two numbers?
11 and 12
The definition of irrational numbers
Irrational: non-repeating decimals that do not terminate and cannot be turned into a fraction.
Find the distance between the points. Round your answer to the nearest tenth.
(-3,1), (4,-3)
8.1
What is the opposite of x3 or in other words, how do you undo something being cubed?
cube root of x or cube root