Square Roots
Find the Square Roots of 100
10 and -10
Simplify the square root of 360.
6√10
What does it mean for a number to be a rational number?
It can be written as a fraction of integers.
What is the formula for the Pythagorean theorem?
a2+b2=c2
A slide at the park was 8 feet from the ladder and 8 feet high. How long was the slide?
√132 ft or 2√33 ft
Estimate the Square root of 15 to the nearest positive integer.
4
Simplify the square root of 98
7√2
What types of decimal numbers are rational?
Terminating and Repeating
A right triangle has leg lengths of 12 cm and 16 cm. What is the length of the third side? Show calculations.
20 cm
A triangle has side lengths of 3, 4, and 5. Is it a right triangle?
Yes 32+42=52 ->9+16=25
Find the Square Roots of 16/25
4/5 and -4/5
Simplify the square root of 360
6√10
Is the square root of 13 rational or irrational? Why?
Irrational, 13 is not a perfect square.
A right triangle has hypotenuse of 17 inches and a leg of 15 inches. Find the remaining side length. Show calculations.
8 inches
A triangle has lengths of 12, 15, and 20. Is it a right triangle?
No 122+152=202 ->144+225 =369 not 400
Solve
x2+5=30
5 and -5
Simplify the square root of 250
5√10
Is the square root of 289 rational or irrational? Why?
Rational, the root of 289 is 17 which is rational.
Find the distance between the two points (-2,5) and (4,-3).
10 units
A triangle has side lengths of 0.9, 1.2, and 1.5. Is it a right triangle.
Yes 0.92+1.22=1.52
->0.81+1.44=2.25
A square field has and area of 81 ft2. How much fencing would you need to surround the field? Show work.
36 ft of fencing.
18√5
Is 3.27277277727777277777... considered rational or irrational? Why?
Irrational, it is neither a repeating decimal nor a terminating decimal.
A 13ft ladder is placed against the side of a house so that the base is 5 ft from the house. From the top of the ladder you can reach up an additional 4 ft. How high up the side of the house can you reach?
(Try drawing a picture).
16 ft up the side of the house.
Tell whether the points in the coordinate plane form a right triangle. (0,1) (0,4) (4,4). Try ploting the points.
Yes 32+42=52 ->9+16=25