Learn how to rewrite square roots (and expressions containing them) so there's no perfect square within the square root. For example, rewrite√75 as 5⋅√3.
Log in skilavera1 5 years agoPosted 5 years ago. Direct link to skilavera1's post “what grade maths would th...” what grade maths would this be? • (17 votes) Beaniebopbunyip 5 years agoPosted 5 years ago. Direct link to Beaniebopbunyip's post “I think it’s about eighth...” I think it’s about eighth or ninth grade. But people take math at different times. I’ve known fith graders who have taken algebra and geometry in the same year, and I’ve known ninth graders who have taken algebra. Even if you’re taking algebra in ninth grade, that’s okay. What really matters is that you understand the content when you learn it. (68 votes) Jaidyn McPherson 6 years agoPosted 6 years ago. Direct link to Jaidyn McPherson's post “when will we ever use thi...” when will we ever use this in everyday life? whats the point of even learning this? • (15 votes) AD Baker 5 years agoPosted 5 years ago. Direct link to AD Baker's post “Jaidyn, After learning ...” Jaidyn, After learning this helps you pass your Math class and graduate high school, there are many careers where this is used. Most obviously, it's used in engineering and computer science. However, when I worked in construction, I used to use square roots regularly to determine whether items would fit through a doorway on a diagonal. (Note: this also involves trigonometry.) (53 votes) dylan.forr99 a year agoPosted a year ago. Direct link to dylan.forr99's post “Anyone else need to take ...” Anyone else need to take like 4 or 5 hours to really get a firm understanding of this lesson? or am I just dumb? • (17 votes) Gina a year agoPosted a year ago. Direct link to Gina's post “Sometimes things snap rig...” Sometimes things snap right into place and the light goes on right away, and other times we need review and practice. If you got this far, you already have all the pieces you need to work with radicals. It's a matter of seeing how they go together. (7 votes) Ha 6 years agoPosted 6 years ago. Direct link to Ha's post “can a fraction be an expo...” can a fraction be an exponent? • (10 votes) Redapple8787 6 years agoPosted 6 years ago. Direct link to Redapple8787's post “A fraction can be an expo...” A fraction can be an exponent. When a fraction is an exponent, you can change it so that a there is a first, second, third, etc. root of something. (15 votes) bjacobsen4427 a year agoPosted a year ago. Direct link to bjacobsen4427's post “golly gracious i think iv...” golly gracious i think ive passed out 15 times trying to these • (19 votes) Lateo 7 years agoPosted 7 years ago. Direct link to Lateo's post “In the video "Simplifying...” In the video "Simplifying square roots (variables)" @ • (11 votes) will.lindner.student 6 years agoPosted 6 years ago. Direct link to will.lindner.student's post “what about problems with ...” what about problems with a number already multiplying the square root. Do you multiply or add the numbers together? • (5 votes) David Lee 6 years agoPosted 6 years ago. Direct link to David Lee's post “It's easier to understand...” It's easier to understand if there is an example. Let's say you have √98. 98 is 49*2 which is 7^2*2, it would be 7√2. If you have 2√98. √98 is 7√2, 2√98 would be 14√2. Hope this helps! If you have any questions or need help, please ask! :) (9 votes) Misheel 3 years agoPosted 3 years ago. Direct link to Misheel's post “Can i also simplify √72 ...” Can i also simplify √72 in this way: √72 = √9*8 = √9*√8 = 3√8 instead of: √72 = √2*36 = √36*√2 = 6√2 • (3 votes) Kim Seidel 3 years agoPosted 3 years ago. Direct link to Kim Seidel's post “Yes, you can take that ap...” Yes, you can take that approach. But, your work is incomplete. When you simplify a square root, you need to ensure you have removed all perfect squares. With 3√8, you still have a perfect square inside the radical. (12 votes) daniel wauchope 4 years agoPosted 4 years ago. Direct link to daniel wauchope's post “how do you do long divisi...” how do you do long division • (0 votes) jonahfish 4 years agoPosted 4 years ago. Direct link to jonahfish's post “let me show you an exampl...” let me show you an example: 129/3 (17 votes) kjohnson8937 3 years agoPosted 3 years ago. Direct link to kjohnson8937's post “how would we solve x!=120” how would we solve x!=120 • (5 votes) David Severin 3 years agoPosted 3 years ago. Direct link to David Severin's post “Factorials are based on m...” Factorials are based on multiplying all numbers below the number, so start dividing out starting at 2 until you reach the number you want. So 120/2=60/3=20/4=5. Answer is 5!. (6 votes)Want to join the conversation?
For example,
1^1/2 = square root of 1
1^1/3 = third root of 1
1^1/4 = fourth root of 1
And so on and so forth. This was covered in a series of videos in the topic Rational Exponents and Radicals.
https://www.khanacademy.org/math/algebra/rational-exponents-and-radicals/alg1-rational-exp-eval/v/fractional-exponents-with-numerators-other-than-1
1:40
(1) Can anybody please point me to that video? I can't find it.
(2) I don't understand the need for an absolute value. If we state, before beginning to solve the problem, that the domain of the X variable is the Positive Real Numbers (or X greater than or equal to zero), aren't we already cancelling out the possibility that the X variable assumes a negative value by restricting the domain, thus rendering the use of the absolute value unnecessary?
3√8 = 3√(4*2) = 3√4 * √2 = 3*2√2 = 6√2
Hope this helps. 43 three "goes in" 43 times
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3|129
12 3 goes into 12 four times
-12 minus 3*4 (in between 12 and 0, and 3,0 there is a line)
09 remainder of 0. bring down the 9
3
