Simplifying Radicals
Simplify √200
What is 10√2?
3√7 + 2√7
What is 5√7?
√(5/7)
What is √(35)/7?
If A varies directly as B and inversely as the square of C, write A as a function of B and C. Let k be a constant.
What is A=kB/C^2?
The cost of pens varies directly as the number of dozens purchased. If 4 dozen cost $10.60, then how much will 7 dozen pens cost?
What is $18.55?
Simplify √(36n^2 )
What is 6n?
8√27 - 3√3
What is 21√3?
√(11/6)
What is √(66)/6?
If y varies inversely as x and x=70 when y=3.6, Find y when x=90.
What is 2.8?
The height that a diver leaps above a diving board varies directly with the amount that the tip of the diving board dips below its normal level. If a diver leaps 44 inches above the diving board when the diving board tip dips 12 inches, how high will the diver leap above the diving board if the tip dips 18 inches?
What is 66 inches?
-√(48b^5)
What is -4b^2√3b?
(5+√6)(5-√6)
What is 19?
8/(3-√7)
What is 12+4√7?
If y varies jointly as x and z, and y=12 when x=3 and z=2, what is the value of y when x=5 and z=6?
What is 60?
The distance a body falls under gravity varies directly as the square of the time. If a body falls 40 m in 2 seconds, how far does it fall in 4 seconds?
What is 160 m?
√24a6b5
What is 2a3b2√6b?
(3-5√2)2
What is 59-30√2?
6/(4+√2)
What is (12-3√2)/7?
If y varies directly as the cube of x and x=15 when y=5, What will y equal when x=10?
What is 40/27?
As a general rule, the number of parking spots in a parking lot for a movie theater complex varies directly with the number of theaters in the complex. A typical complex has 30 parking spaces for each theater. A businessman wants to build a new cinema complex on a lot that has enough space for 210 parking spaces. How many theaters should the businessman build in his complex?
What is 7 theaters?
y√169x8y15
What is 13x4y8√y?
√3(√3 - √2) - √2(√3 +√2)
What is 1-2√6?
(2+√5)/(3-√7)
What is (6+2√7+3√5+√35)/2?
R varies directly as the square of S and inversely as T. When S=4 and T=2 the R=24. What is the value of R when S=1 and T=1?
What is 3?
The cost of an apartment varies inversely as the number of people sharing the rent. If 2 students have to pay $700 each, how much money would each student have to pay if there were 5 students sharing the rent?
What is $280?