(1) Simplify by taking roots of the numerator and the ...



(1) Simplify by taking roots of the numerator and the denominator.

[pic] = 8/5

(2) Multiply

[pic]

= -735

(3) The formula r = 2 square root 5L can be used approximate the speed r, im miles per hour of a car that has left skid mark of length L, in feet. How far will a car skid at 40mph?

= 80

(4) Divide then simply by taking roots if possible.

[pic] = 2

(5) Subtract, simplify by collecting like radicals too if possible

[pic]

= 3√3

(6) Solve

[pic]

= 35

(7) Use rational exponent to simplify

[pic]

1

x^7

(8) Simplify

[pic]

= -2

(9) Find the following: Assume that X can represent any real number. Use absolute value notation when necessary.

[pic]

7 |x|

(10) Use the laws of exponent to simplify.

[pic]

= 101/4

(11) Multiply and simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers.

[pic]

= 2y^5 3rdroot 2

(12) Find the length of site a. in the right triangle if b = 12 and c = 15 (The triangle is not drawn to scale) a =

[pic]

A = 9

(13) Simplify

[pic]

= 125

(14) Simplify by factoring, assume that all expressions under radical represents nonnegative numbers

[pic]

2x^2 3rdroot 5x^2

(15) Subtract. Simplify by collecting like radical terms if possible assuming that all expressions under radicals represents nonnegative numbers.

[pic]

Not sure what you mean… retype this one.

(16) Solve.

[pic]

This is a 3rd root?

If so:

X = 122

(17) Use rational expression to write -------------- As a single radical expression

[pic]

20throot(81x^9)

(18) Multiply

[pic]

8√6 - 27√2

(19) Rewrite the rational exponent.

[pic]

(9x^6y)^7/5

(20) Add or subtract. Simplify by collecting like radicals terms, if possible

[pic]

= 8√6

(21) Television sets what does it means to refer to a 20 inch TV set? Such units refer to the diagonal of the screen. A 20 inch TV set also has a width of 16 inches what is the height 12 inches.

(22) Find the following…….Assume that the letters can represent any real numbers. [pic]

y

(23) Multiply and simplify. Assume that all expressions under the radical represents nonnegative numbers.

[pic]

7x^2 √2

(24) Multiply and simplify wherever possible.

[pic]

= -3

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