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surds..

and what does it mean when there is 2√3

(wen there is a 2 square root 3?)

how do you get that? (above)

pls do you know any basics and tips about surds?

thank you

best answer for answer which helps in most detail

thanks

2007-09-10 17:09:34 · 8 answers · asked by Anonymous in Science & Mathematics Mathematics

surds are square roots that can't be written accurately as decimals

no problem is not cut off..i just do not understand what 2 does in front of square root and 3.

thanks for your help

2007-09-10 17:21:44 · update #1

Hopefully you also understand for this example what 2√3 is. It's just 2 times √3.

so does this mean that 2√3 means

√3x3

which = √9 ?

sorry im just a litle bit confused

thanks !

2007-09-10 17:35:11 · update #2

and what is the answer to this and how did you get it. I am so confused

2√3

i know what the answer is but i dont kno what u do to get it. for e.g. what do you do with the 2?

pls help!

thanks so much

2007-09-10 17:57:30 · update #3

8 answers

For more detailed explanation about surds, type surds in the Web Search and select Wikipedia. You will learn everything you need to know.
Here is a simple approach.
Your example:
(2)(Sq. Root of 3)
Treat this expression like an algebraic term, where (2) is the numerical coefficient, while the (Sq. Root of 3) is the literal coefficient.
For example:
A. (5)(Sq. Root of 3) - (2)(Sq. Root of 3) = (3)(Sq. Root of 3).
B. (6)(Cube Root of 27) - (3)(Cube Root of 27) = (3)(Cube Root of 27).
Hint:
Square Root of X = X^(1/2)
Cube Root of X = X^(1/3)
nth Root of X = X^(1/n)
More example:
(2)(Sq. Root of 3) + (3)(Sq. Root of 3) = (5)(Sq. Root of 3)
CAUTION:
(2)(Sq. Root of 3) + (3)(Cube Root of 3) = (2)(Sq. Root of 3) + (3)(Cube Root of 3).
Why?
Because the literal coefficients are NOT the same.
Good Luck!

September 6th:
Additional information.
Please review your radicals. They are like algebraic terms where you can use all mathematical operations. You can also treat these radicals like a fractional exponents. You can add and subtract when the radicals are the same (the same fractional exponents). You can multiply and divide when the radicals are not the same (different fractional exponents). Treat the fractional exponents like a simple fraction. When you want to know the values of an expression simplify the expression and then obtain the value inside the radicals by using your calculator.
For example your given problem: 2(Sq. Root of 3)
This means that you multiple the square of 3 by 2. You can obtain the square of 3 by using your calculator. The value is 1.73, rounding the answer to two decimal places. Your final answer is 3.46.
Another example: 2(Cube Root of 27)
The value of the cube root of 27 is 3. The answer will be 2 times 3, which is 6.
Additional explanation:
2(Sq. Root of 3) = (2)(3^1/2) = (2)(3^0.5) = (2)[(0.5)(Log3)].
Obtain the logarithm of 3 from your logarithmic table. Then multiple this value by 0.5 and subsequently by 2.
Please email me if you need some more examples and explanation.
Caution: The foregoing operations must be done on a positive integer. Negative number(s) will yield an imaginery value(s).
Good Luck.

2007-09-10 17:45:08 · answer #1 · answered by Anonymous · 0 0

Okay, wow... it's read 2 TIMES the square root of 3. It's equal is √12, because all they are doing is saying, "well, instead of searching for all those numbers behind the decimal, just say what it would be." there's no possible, truthful decimal for √3 with an ending. but to explain how they went from √12 to 2√3, its like this.
First, you factor 12, trying to find any perfect squares (the numbers you can find the square root of) , and 12's factors are 1, 2, 3, 4, 6, and 12. FOUR IS A PERFECT SQUARE!!! (sry 4 the yelling) So now your problem looks like this:
√4x3
You can find the square root of 4, can't you? It's 2. So since that was the only square root you could find, it goes outside the radical. So now it looks like 2 times the square root of 3, or
2√3.

2007-09-17 11:40:08 · answer #2 · answered by Anonymous · 0 0

By "surd", do you mean irrational number? I didn't think people used the term "surd" any more. Any, just treat the radicals as their own numbers and add like terms. For example, 5√3 - √3 = 4√3

Hopefully you also understand for this example what 2√3 is. It's just 2 times √3.

2007-09-10 17:23:10 · answer #3 · answered by Anonymous · 0 0

if there is a design problem the designer says this beam needs to be 2 times the square root of 3 feet long

on calculator sqr root 3 = 1.732

2 x 1.732= 3.464'

which equals 3' 5.57" or 3' 5 37/64"

2007-09-15 16:44:17 · answer #4 · answered by Will 4 · 0 0

actually, 2 square root of 3 is equal to square root of 12... I dont know how to explain this so I hope you'll get my meaning...

that is actually the square root of 4 ( which is 2) multiply by square root of 3...
sorry... I dont know how to explain this further...

2007-09-15 16:57:20 · answer #5 · answered by criselda 3 · 0 0

2√3 is the number that is 2 times the √3, which is approximately (2 * 1.732050808) ~= 3.464101615
In mathematics we use the term 2√3 instead of 3.46410165 because 2√3 is more accurate and anyone who needs to know the exact value can calculate it to whatever level of accuracy they wish. So infact it is the decimal that is not accurate enough and the radical is.

2007-09-10 17:22:30 · answer #6 · answered by z32486 3 · 0 1

I'm great at working with roots, so I'd love to help. But, I have no idea what a "surd" is. Did the problem get cutoff?

2007-09-10 17:19:06 · answer #7 · answered by bedbye 6 · 0 1

= 2 √3
= 2 * 1.7320508
= 3.464102

2007-09-14 23:28:49 · answer #8 · answered by Jun Agruda 7 · 3 0

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