Questions on Algebra: Real numbers, Irrational numbers, etc answered by real tutors!

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Question 238194: Write each of the following square roots in the form a√b, where a and b are integers and b has the least value possible. For example, √180=6√5.
1. √360
2. √40
3. √240
Please, please help! Thank you.
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Question 238188: Knowing that √2 is an irrational number, argue that √2/2 is also an irrational number.
Please help. Even just some ideas would be great. Thank you!
Click here to see answer by Theo(3504)

Question 238539: How do you simplify 2{[4(a-4)+18]-[3(3a-2)+5]}

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Question 238843: Find the distance between the given numbers.
(a) 7/15 and -1/24
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Question 238854: If Jessica only spent 20% instead of the 25% allotment for food in May of 2001, how much did she save?
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Question 239571: What is a rational number?
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Question 239796: 1.integer
_______=undefined
0

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Question 239795: 1.integer
_______=undefined
0
2.what kind of integer is ZERO?
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Question 240280: the simplest form of ratio for 49:35
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Question 239507: how would you begin to solve this problem 1+i over 1+2i + 1-i over 1-2i
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Question 240889: prime factorization???
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Question 240882: what are the properties of real numbers
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Question 241267: when I worked on to problems using the elimination method I came up with 0=0 in both equations. Is this a solution or non solution or infinite solution
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Question 241319: what makes a number to be called irration?
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Question 240866: what are sets?

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Question 240885: what are sets?

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Question 240888: what are sets?
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Question 240925: Find two consecutive even integers such that the sum of the larger and three times the smaller is 234
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Question 242583: how do you do
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Question 242796: Sunflower seeds are packed in packages each weighing 3 & 1/4 ounces. If there is a supply of 15 & 1/2 pounds of sunflower seeds, how many packages of seeds can be packed? How many ounces of sunflower seeds will be left over? (16 oz. = 1 pound)
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Question 242615: show that only one out of n, n+2 or n+4 is divisible by 3 where n is positive integer.
Click here to see answer by Edwin McCravy(8999)

Question 242587: how do you do you get the roots of
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Question 242614: Prove that no number of the type 4k+2 be a perfect square.
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Question 243432: a 12 foot tree casts a 16 foot shadow. How many feet tall is a nearby tree that casts a 20 foot shadow at the same time ?
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Question 243988: prove cube root 6 is irrational
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Question 244561: what are 5 different integers that their average will equal -11
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Question 245913: This is in my text and I have tried to solve problem listed below. I asking the on how to solve. Someone else did it a different way but confusing. It say's to complete each ordered pair so that it satisfies the given equation.
y = 2x - 5: (8, ), (-1, ), (- ,-1)
I tried steps but get confused and someone else say's its incorrect. I could use some guidance.
Click here to see answer by solver91311(17077)

Question 246131: When dividing by a negative number in an inequality, do I switch the signs around?
Thank you
Click here to see answer by stanbon(57984)

Question 246130: Please help me solve the equation:
Click here to see answer by Alan3354(31538)

Question 246208: What is the domain of 3/x+15
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Question 246215: What is the domain of g(x)=sqrroot of 5x-75 in interval notation? 5x-75 is all under the square root sign. Thanks
Click here to see answer by dabanfield(803)

Question 246294: Suppose that a is a negative real number. Determine whether each of the following is positive or negative, and explain your answer.
.
a) -a
b) |-a|
c)-|a|
d) -(-a)
e)-|-a|
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Question 246682: what is algebra
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Question 246735: twenty times the square of a non zero number is equal to 15 times the number
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Question 247168: I am very lost on this equation...can someone please help explain this to me.
x-7+5/x-1/x-3+1/x-1 do the denominators of x-1 cancel out???
Click here to see answer by College Student(505)

Question 247180: x/3=x+10/6

I can not figure this one out!!! Can anyone please help me???
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Question 247180: x/3=x+10/6

I can not figure this one out!!! Can anyone please help me???
Click here to see answer by Theo(3504)

Question 248419: what type of number is -2/5?(rational,irrational,integer'or whole number)
Click here to see answer by stanbon(57984)

Question 248419: what type of number is -2/5?(rational,irrational,integer'or whole number)
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Question 248464: each square root is between two intergers,name the two intergers
the numbers are 119 and 15. the 15 has a negitive on the outside of the square root sign
Click here to see answer by richwmiller(9144)

Question 248535: I need help with this problem.
Solve for r... R=rs/r+s please show work i am completely stumped.
Click here to see answer by checkley77(12569)

Question 248746: The below line can represent what solution set. Select the best answer:
a. All integers less than 5
b. All real numbers greater than 0
c. All counting numbers less than 6
d. All irrational numbers between 1 and 5
______________________
1 2 3 4 5
Click here to see answer by edjones(7569)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880