Radical Functions ( 3 questions), algebra homework help

Please show all work for each problem. This includes any calculations, diagrams, or graphs that helped you solve it.

Writing in Math Refer to the informationon page 417 to explain how square root functions can be used in bridgedesign. Assess the weights for which a diameter less than 1 isreasonable. Evaluate the amount of weight that the Sunshine SkywayBridge can support. Page 417 is in the attacments. The radius r of a sphere with volume V can be
3V
found using the formula r = This is an
example of an equation that contains an nth root.
In this case, 11 = 3.
—
Thi
Simplify Radicals Finding the square root of a number and squaring a
number are inverse operations. To find the square root of a number n,
you must find a number whose square is 2.
Similarly, the inverse of raising a number to the wth power is finding the
ath root of a number. The table below shows the relationship between
raising a number to a power and taking that root of a number.
Factors
Poves
a
125
Page
Rools
s is a cube root of 125,
3 is a fourth root of 81
2 is a fifth root of 32
62
5.5.5 = 125
3.5-5.5 81
2-2-2-2.2 – 32
a. a. a. 9…. – ab
0 – 0
n lactors of a
a – 32
422 전
o’l – b
a is an oth root of b.
Q DO
nalyze
functions.
2 root
The Sunshine Skyway Bridge
across Tampa Bay, Florida, is
supported by 21 steel cables, each
9 inches in diameter. The amount
of weight that a steel cable can
support is given by w =
842,
where d is the diameter of the
cable in inches and w is the
weight in tons.
ulary
ction
quality
If you need to know what
diameter a steel cable should
have to support a given weight,
you can use the equation
d
vo
Page
417
Square Root Functions If a function contains a square root of a variable,
it is called a square root function. The parent function of the family of
square root functions is y = vix. The inverse of a quadratic function is a
square root function only if the range is restricted to nonnegative
numbers