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

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Question 78229: Simplify each radical expression.

(√3 + 5)( √3 - 3)

Click here to see answer by checkley75(3666) About Me 

Question 78327: Find the length of a side of a square whose area is the same as that of a rectangle 24 cm. by 30 cm.
Click here to see answer by jim_thompson5910(35256) About Me 
Question 78327: Find the length of a side of a square whose area is the same as that of a rectangle 24 cm. by 30 cm.
Click here to see answer by rmromero(383) About Me 

Question 78369: Evaluate, the radical expression if possible.
√4/5

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Question 78372: Determine the missing binomial in the following: (√3 – 2) ( ) = -1
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Question 78392: To solve the radical equation below, which step would result?
Square root of (x-5) - 3 = 4
Thanks~

Click here to see answer by dolly(163) About Me 

Question 78385: can someone check this for me please?
i have to simplify each radical expression
sqrt3+5sqrt3-3
=(5+-3)sqrt3=2sqrt3

Click here to see answer by stanbon(75887) About Me 

Question 78371: Perform the indicated division. Rationalize the denominator if necessary. Then simplify each radical expression

6 - √20/2

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Question 78450: rationalizing the denominator. Simplify the expression. Square root of 7/8
Click here to see answer by checkley75(3666) About Me 
Question 78450: rationalizing the denominator. Simplify the expression. Square root of 7/8
Click here to see answer by stanbon(75887) About Me 

Question 78462: can someone explain to me how do simplify this by combining like terms when there is no like terms?
xsqrt18-3sqrt8x%5E2

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Question 78525: Solve each of the equations. Be sure to check your solutions.
√2y + 7+ 4=y
(The radical symbol is over the 2y+7)

Click here to see answer by tutor_paul(519) About Me 

Question 78526: Simplify by combining like terms.

x√18 - 3√8x^2

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Question 78513: A 20 foot tall telephone pole is at a right angle with the ground. A 25 foot wire is to be attached from the top of the pole to a point on the ground so the wire is taught. How far from the base of the pole would the wire be attached?
Thanks~

Click here to see answer by tutor_paul(519) About Me 

Question 78584: this is in an advanced radical equation/multible radical assignment.
this is the problem im trying to solve:
+sqrt%28+s-16+%29+%2B+sqrt%28+s+%29+=+4+
this is what i have so far:
+sqrt%28+s-16+%29+%2B+sqrt%28+s+%29+=+4+ :
subtract +sqrt%28+s+%29+ from both sides :
+sqrt%28+s-16+%29+=+4+-+sqrt%28+s+%29+ :
to get ride of the square root i use it on both sides :
+sqrt%28+s-16+%29+=+sqrt%28+4+-+sqrt%28+s+%29+%29+
then the right side of the equal sign shows :
+%28+4-sqrt%28+s+%29+%29%28+4+-sqrt%28+s+%29%29+ =
+s-16+=+16-sqrt4%28+s+%29-sqrt4%28+s+%29%2Bsqrt2%28+s+%29+
and this is where i get stuck. How do i solve for the next step?

Click here to see answer by Earlsdon(6294) About Me 

Question 78511: I am totally lost on the following 3 problems! Could you PLEASE Help me??? Thank you :)

#1 For a home that has a roof that is 7m from peak to eave and the attic space is 3m high at the peak, how long does each of the pieces of insulation need to be? Round to the nearest tenth.

#2Find the distance between each pair of roots.
(-3, 0) and (4, 0)

#3 Use the Pythagorean theorem to determine the length of each line segment. Where appropriate, round to the nearest hundredth.
(3,2) (1,-2)

Thanks again :)
Bev



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

Question 78504: 3x + 10 under the radical followed by = 5-2x i know the quadriatic formula should be used but im confused
Click here to see answer by tutor_paul(519) About Me 

Question 78460: can someone please help me complete this? i have to solve and check.
sqrt2y%2B7+4=y
=sqrt2y%2B7=-4
=(sqrt2y%2B7^2=(-4)^2
2y+7=4
y=4

Click here to see answer by tutor_paul(519) About Me 

Question 78628: Can someone please help me solve these 3 problems....I'm still lost. Thanks:)
1) For a home that has a roof that is 7m from peak to eave and the attic space is 3m high at the peak, how long does each of the pieces of insulation need to be? Round to the nearest tenth.
2) Find the distance between each pair of roots.
(-3, 0) and (4, 0)

3) Use the Pythagorean theorem to determine the length of each line segment. Where appropriate, round to the nearest hundredth.
(3,2) (1,-2)

Click here to see answer by stanbon(75887) About Me 

Question 78723: When do slove a radical equation using factoring or completing the square, what do you do when c=0?
Click here to see answer by stanbon(75887) About Me 

Question 78759: I need to find out what the smallest power to which you can raise both sides of the radical equation is so that the radicals are eliminated.
the equation is: sqrt+%28x+%2B+3%29+ = 3sqrt+%28+10x+%2B+14%29+
I know i need to find a power, but I am not sure how to get it. I don't understand what they mean by so that the radicals are eliminated. I had guessed 3 at first but that is obviously wrong. Can you help me? Thanks.

Click here to see answer by stanbon(75887) About Me 
Question 78759: I need to find out what the smallest power to which you can raise both sides of the radical equation is so that the radicals are eliminated.
the equation is: sqrt+%28x+%2B+3%29+ = 3sqrt+%28+10x+%2B+14%29+
I know i need to find a power, but I am not sure how to get it. I don't understand what they mean by so that the radicals are eliminated. I had guessed 3 at first but that is obviously wrong. Can you help me? Thanks.

Click here to see answer by tutor_paul(519) About Me 

Question 78758: Hello. Could someone please help me with these problems? I don't know what to do.....Thanks:)
1) Determine whether squrt.49/100 is rational or irrational.
2) What is the diagonal length of a TV screen whose dimensions are 80 by 60 cm?
3) How far up a wall will an 11m ladder reach, if the foot of the ladder must be 4m from the base of the wall? Round your answer to the nearest tenth.

4) Find the distance between (–3, –2) and (1, 4)
Thanks!!!!:)

Click here to see answer by checkley75(3666) About Me 

Question 78760: How do you turn a square root into a fraction? For example, squrt.60 is what in fraction form and how do you do that? Thanks.
Click here to see answer by tutor_paul(519) About Me 

Question 78765: CAN SOMEONE HELP ME WITH THIS, PLEASE?
Simplify. Assume x represents a positive number.
SQURT.80X^4
THANKS:)

Click here to see answer by tutor_paul(519) About Me 

Question 78767: Please help with the following problem where the directions read "Rationalize the following denominators - assume all variables to be positive"
sq rt of 72 x^2 y^9 divided by aq rt of 49 x^7 y
Thanks so much!

Click here to see answer by tutor_paul(519) About Me 

Question 78773: Can someone help me with these, please?
1) squrt y+7=2
2) squrt 5x+5-5=0
Thanks!!!! :)

Click here to see answer by sprolden(40) About Me 

Question 78774: ok i am doing Graphic representation of radicals of the second order. I am trying to learn how to make squares into a hypotenuse right angle. it say to represent graphically.it says thatthe length of the hypotenuse of a right angle is epual to the square root of the sum of the squares of the lenghts of the other two sides. the first problem is the square of 26.
Click here to see answer by mathdoc314(58) About Me 

Question 78786: square root of x+40-(minus)sqrare root of x =4
square root of y+10-(minus) square root of y-2 =2
thanks!

Click here to see answer by mathdoc314(58) About Me 

Question 78900: I need help on solving this, please and thanks!! =)
+sqrt%283x%2B1%29+=+x-3+
So far I have this:
I rid the equation of roots by squaring both sides-
+3x%2B1+=+%28x-3%29%28x-3%29+
Simplified-
+3x%2B1+=+x%5E2-6x%2B9+
Combined like terms-
+9x+=+x%5E2%2B8+
Divided both sides by x-
+9+=+x%2B8+
Solved for x-
+x+=+1+
But, when I plug that in to the original equation it comes out to be-
+2+=+-2+
What am I doing wrong?

Click here to see answer by jim_thompson5910(35256) About Me 

Question 78915: I can't seem to come up with the correct way to answer the problem C = √3c-8

c=(√3C-8) the numbers in parentheses is all under the square root sign

Click here to see answer by bucky(2189) About Me 

Question 78895: can you please help me find the distance between (-5,6) and (4,-6)
Click here to see answer by mathdoc314(58) About Me 

Question 78884: Hey, I was wondering you you solve radical equations such as this.
3 to the square root of 2x+3 = the square root of x-7
And also, what is a exponential decay?

Click here to see answer by mathdoc314(58) About Me 

Question 78919: a+b=a+b for every value of a and b?
Click here to see answer by funmath(2933) About Me 

Question 78896: please help me simplify this problem?
sqrt75a%5E2/sqrt5

Click here to see answer by tutor_paul(519) About Me 

Question 78893: The base of a ladder is 3 feet away from the wall.The top of the ladder is 9 feet from the floor. Find the length of the ladder to the nearest thousandth.
help me please?

Click here to see answer by tutor_paul(519) About Me 

Question 78891: can someone help me to simplify this?
sqrt2(8sqrt5-2sqrt2)

Click here to see answer by tutor_paul(519) About Me 

Question 78889: will someone check this for me please?
sqrt3x%2B9+6=0
sqrt3x%2B9=-6
(sqrt3x+9}}})^2=(-6)^2
3x+9=36
3x=27
x=27

Click here to see answer by tutor_paul(519) About Me 

Question 78933: The section is adding/subtracting radicals. My problem is subtracting.
The equation is: The sqaure root of 120 - The square root of 270 - The square root of 300. Can you help me?

Click here to see answer by stanbon(75887) About Me 
Question 78933: The section is adding/subtracting radicals. My problem is subtracting.
The equation is: The sqaure root of 120 - The square root of 270 - The square root of 300. Can you help me?

Click here to see answer by tutor_paul(519) About Me 

Question 78886: square root of y+10-(minus) square root of y-2 =2
Click here to see answer by tutor_paul(519) About Me 

Question 78885: will someone help me find the distance between (2,0) and (-5,0)for some reason i think i know the answer but i can't do the problem in my head i get 7 as the answer but i can't solve it on paper help me please?
Click here to see answer by Earlsdon(6294) About Me 

Question 78878: can someone help me evaluate if possible please?
-^3sqrt64

Click here to see answer by Earlsdon(6294) About Me 

Question 78945: I need to simplify the cube root of -60 over the cube root of 120. I think it is the negative of the cube root of 4 over 2, but I am not certain.
Click here to see answer by Edwin McCravy(20055) About Me 

Question 78946: I need to rationalize the denominator of 5 over (7- radical 14). I get 1+ (radical 14 over 7). Is this the same as (7 + radical 14) over 7? Since 7/7 is 1, it should be equivalent.
Click here to see answer by mathdoc314(58) About Me 

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