#### • Class 11 Physics Demo

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#### • how to find the square root

Question:

Answers:8 + 32 = 6 2 How: First you need to break down the two roots.. 8 breaks down to... 2 x 4. 4 can be simplied to just 2. So you get 2 2 Then 32 is broken down as.. 4 x 8. Both of these can be broken down. Again, like the first one. 8 = 2 2 and 4 is just 2. So you multiply 2x2 and get 4 2 So now you have 2 2 + 4 2. In this case the 2 as like a variable, just like x. So you just add like terms, to get the answer.

Question:How do I do it? In simple terms please. I have some examples: 1. 12+ 3 2. 18+ 32 3. 45+ 80 4. 28+ 63 5. 11+ 99 6. 13+ 52 7. 80+ 20 8. 27+ 48 9. 75+ 108 10. 112+ 175 11. 162- 98 12. 675- 27 13. 144- 121 14. 343- 252 15. 52- 13 16. 1250- 50 17. 169- 81 18. 1152- 338 19. 125- 20 20. 325- 117 Just explain how to do once. Then give me the answer to those questions, so I can check my work. Thank You In Advance! Vick T. Your answer is very confusing! Can you use the radical signs?

Answers:lol im doing this kinda work now. ok i think u have to find a sqaure factor to simplify.. 1. 12+ 3 = 2 3+ 3 =3 3 2. 18+ 32 =3 2+4 2 =7 2 3. 45+ 80 =3 5 + 4 5 =3 5 4. 28+ 63 =2 7+3 7 =5 7 5. 11+ 99 = 11+3 11 =4 11 6. 13+ 52 = 13+2 13 =3 13 7. 80+ 20 = 4 5+2 5 =6 5 8. 27+ 48 =3 3+ 4 3 =7 3 9. 75+ 108 =5 3 + 3 12 =5 3+6 2 10. 112+ 175 = 4 7+25 7 =29 7 11. 162- 98 = 9 2-7 2 12. 675- 27 = 15 7 - 3 7 =12 7 13. 144- 121 =12-11 =1 14. 343- 252 = 7 7 - 6 7 = 7 15. 52- 13 =2 13- 13 = 13 16. 1250- 50 =25 2-5 2 =20 2 17. 169- 81 =13-9 =4 18. 1152- 338 = 3 128-13 2 = 18 2-13 2 =5 2 19. 125- 20 =5 5 -2 5 =3 5 20. 325- 117 = 5 13-3 13 =2 13 in case u still don't know what i did i will sh0w u the long way 1. 12+ 3 = 4x3+ 3 <---4 is a square factor so find the sqaure root of 4 and put it outside of the radical =2 3+ 3 <-----now just add each other =3 3 (note) =radical sorry if i got any wrong.. plz pick me for the best answer =)

Question:Well, so I have my finals coming up and unfortunately I forgot how to find square roots using Newton's Method. Now, when you're explaining, I don't want any of this: "First, here's the divide-and-average algorithm. Suppose that you wish to calculate the square root of a number A. The divide-and-average algorithm is: 1. Choose a rough approximation G of sqrt(A). 2. Divide A by G and then average the quotient with G, that is, calculate: G* = ((A/G)+G)/2 3. If G* is sufficiently accurate, stop. Otherwise, let G = G* and return to step 2." Really. Please. Just explain it simply. I remember something about making an estimate of what the square root would be, and dividing, and there was lots of long division. If you tell me about extracting square roots, or if you give me some long scientific google-searched page that only some old nerdy hermit would understand, I will personally force you to eat 70 lemons. Thank you.

Answers:Start from a number that's close to the square root you're looking for. Pick a number that squares to something close to your original number. (for example, if you're looking for the square root of 220, you would do well to choose 15, which squares to 225). We take that and plug it into our formula, and a new number comes out. We plug that number into the formula, and another number comes out. Keep doing it until the number that comes out is the same as the one that went in (when rounded to the precision you want). Unfortunately, the formula isn't as simple as averaging. So, we have our guess, 15. That's x0 To get our next approximation, x1, we take x0 - (x0^2 - 220)/2x0, so we have x1 = 15 - (225 - 220)/30 = 15 - 5/30 = 14.8333333 (carry it out to one more digit than you want in your final approximation). To find our next approximation, x2, we do the same thing again: x2 = x1 - (x1^2 - 220)/2x1 = 14.8333333 - (14.8333333^2 - 220) / 29.6666666 And we keep going until the new approximation is the same as the old one.

Question:HOW do you solve this? Simplify: 32/5

Answers:You can calculate square roots manually... see the url. or you can do it with a calculator. If the problem is the (square root of 32)/5 then you can do it quickly by multiplying 4 x 1.414 (sq.rt (16 x 2))/5