Questions on Algebra: Radicals -- complicated equations involving roots answered by real tutors!

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Question 1157452: A rectangle is 18 inches long and 14 inches wide. Find to the nearest degree the angle the diagonal makes with the longer side. Fill in what you know on the sketch ,show the set up , and answer to the nearest whole degree.
Click here to see answer by josgarithmetic(39616)

Question 1157439: 3a) what method would you use to find the missing angle, and how can you tell?
B) solve for X
85 degree angle , one side 20 , and Hypotenuse 28
Click here to see answer by greenestamps(13198)

Question 1157438: 2a) what method would you use to find the missing side , and why did you choose that ?
B) solve for x
One side 50 degrees and Hypotenuse 30.2
Click here to see answer by greenestamps(13198)

Question 1159257: Solve the following for x. State any extraneous solutions.
√2 − 4 + 2 = x
Click here to see answer by greenestamps(13198)

Question 1159259: Perform the following operations. Assume all variables are positive.
a.2√8 − √128 + √48 + √18
b.(2√11 + 1) (√11 − 6)

Click here to see answer by greenestamps(13198)

Question 1159259: Perform the following operations. Assume all variables are positive.
a.2√8 − √128 + √48 + √18
b.(2√11 + 1) (√11 − 6)

Click here to see answer by MathTherapy(10551)

Question 1159256: Karen and Jack are across a river from each other. Karen can look down the river
to a tree, which is 60 ft away from her. While Jack, on the other side of the river, is 70 ft away
from the tree. How far are they from each other?
Click here to see answer by Alan3354(69443)

Question 1159539: Solve radical 2X -9 equals -15
Click here to see answer by mananth(16946)

Question 1159695: √(x + 4) > 2 + √x
Click here to see answer by MathLover1(20849)

Question 1159695: √(x + 4) > 2 + √x
Click here to see answer by solver91311(24713)

Question 1160293: R=square root of ax-p/q+bx
Click here to see answer by ikleyn(52776)

Question 1162335: Given a = -1, h = 4, and k = -2, what is the equation of the graph if the parent function is y = √x ?
Click here to see answer by ikleyn(52776)

Question 1162335: Given a = -1, h = 4, and k = -2, what is the equation of the graph if the parent function is y = √x ?
Click here to see answer by solver91311(24713)

Question 1163551: ∛a * ∜a = ?
Click here to see answer by AnlytcPhil(1806)

Question 1163827: Find the domain of the function
f(x) = sqrt of 4x-32
What is the domain in interval notation?

Click here to see answer by jim_thompson5910(35256)

Question 1165837: Add or subtract terms whenever possible.
4 square root of 6 plus 8 square root of 6.
Click here to see answer by ikleyn(52776)

Question 1165842: Evaluate the radical expressions or indicate that the root is not a real number.
Square root of 3 square root of -27.
Click here to see answer by ikleyn(52776)

Question 1165845: Simplify the radical expression.
Exponent 3 square root x to the power of 5.
Click here to see answer by ikleyn(52776)

Question 1165843: Evaluate the radical expressions or indicate that the root is not a real number.
square root of 4 and sqaure root of 16.
Click here to see answer by ikleyn(52776)

Question 1166255: What are the Tranformations of this function, and what would be a radical function that shows the same transformations?
Click here to see answer by greenestamps(13198)

Question 1167687: Use a calculator to solve the application. See Examples 9-10. (Objective 6)
Find the standard deviation of the following distribution to the nearest hundredth: 4, 7, 7, 8, 9.
Click here to see answer by ikleyn(52776)

Question 1167706: Police sometimes use the formula
s = k
ℓ
to estimate the speed s (in mph) of a car involved in an accident. In this formula, ℓ is the length of the skid in feet, and k is a constant depending on the condition of the pavement. For wet pavement, k ≈ 3.24. How fast was a car going if its skid was 400 feet on wet pavement?
s =
mph HOW DO I WRITE THE FORMULA?
Click here to see answer by ikleyn(52776)

Question 1168016: 9 sqrt 32 + sqrt 2
Click here to see answer by Edwin McCravy(20054)

Question 1168247: The higher a lookout tower is built, the farther an observer can see. That distance d (called the horizon distance, measured in miles) is related to the height h of the observer (measured in feet) by the formula
d = 1.4
h
.
How tall (in ft) must a lookout tower be to see the edge of the forest, 23 miles away? (Round your answer to the nearest foot.)
Click here to see answer by greenestamps(13198)

Question 1168410: The higher a lookout tower is built, the farther an observer can see. That distance d (called the horizon distance, measured in miles) is related to the height h of the observer (measured in feet) by the formula
d = 1.4 radical symbol with h under it

How tall (in ft) must a lookout tower be to see the edge of the forest, 23 miles away? (Round your answer to the nearest foot.)
Click here to see answer by Boreal(15235)

Question 1171178: The radical √(85+√2736) can be expressed as √a + √b, where a < b. What is the product of ab?
(I know I'm supposed to solve this using a^2 + 2ab + b^2 = (a+b)^2, but have no idea as to how to implement it. Any advice/tips/help would be greatly appreciated)
Click here to see answer by ikleyn(52776)

Question 1171757: Simplify: 4 sqrt 81x^8y^4

Click here to see answer by Alan3354(69443)

Question 1171756: Simplify: 'x^7*y^-5*x^2y^3z)'
Click here to see answer by math_helper(2461)

Question 1171756: Simplify: 'x^7*y^-5*x^2y^3z)'
Click here to see answer by Alan3354(69443)

Question 1171812: Simplify: sqrt 45x^3y^4/16x^2
Thank you.

Click here to see answer by math_tutor2020(3816)

Question 1171812: Simplify: sqrt 45x^3y^4/16x^2
Thank you.

Click here to see answer by Theo(13342)

Question 1171902: What is the distance between the y -axis and the point (6, -3)? on a coordinate plane

Click here to see answer by Alan3354(69443)

Question 1172015: Which of the following quadratic equation has a root

Click here to see answer by ikleyn(52776)

Question 1173195: One ordered pair of rational numbers (x,y) satisfies √((21/4) + 3√3) = x + √y. What is the value of x + y?
Click here to see answer by ewatrrr(24785)

Question 1173516: John began a 164mile bicycle trip to build up stamina for a triathlon competition. Unfortunately, his bicycle chain broke so he finished the trip walking.The whole trip took 6 hours. If John walks at a rate of 4 miles per hour and rides at 44 miles per hour. find the amount of time he spent on the bike?

Click here to see answer by ankor@dixie-net.com(22740)

Question 1173517: Norman and Susy own 41 shares of restaurant stock and 69 shares of a toy company stock. At the close of the markets on a particular day in 2004, their stock portfolio consisting of these two stocks was worth $1755.00. The closing price of the restaurant stock was $20 more per share than the toy company stock on that day. What was the closing price of each stock on that day?
Click here to see answer by ikleyn(52776)

Question 1173909: Problem 1
Have I simplified the radical expressions below by rationalizing the denominators correctly?
An index to left of radical sign is a 3. The radicand (square root) is 24/125. 3/24 3/125 5/5 = 120/125 = Index 3 120/5
Problem 2:
An index to left of radical sign is a 3. The radicand (square root) is 2/3. 2/3 3/3 = 6/27 = Index 3 6/3
If I have not done this correctly, please show me where I have not simplified these 2 radical expressions via rationalizing their denominators.
Thank you

Click here to see answer by Boreal(15235)

Question 1174314: Rewrite the exponential expression as a radical expression.
(5x + 3)^6/7
Click here to see answer by AnlytcPhil(1806)

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, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710