The radical sign. You can get the symbol ²√ by typing [alt] 253 [alt]251.
2006-10-16 05:43:59
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answer #1
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answered by Anonymous
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Terminology
The symbol is called a radical sign. An expression written with a radical sign is called a radical expression. The expression written under the radical sign is called the radicand.
examples:
Simplify completely. Do not use a calculator.
NOTE:
Since m could be any real number value, positive or negative, and the symbol used in the principal square root, we should indicate the absolute value of m to ensure the result is non-negative.
NOTE: A perfect square trinomial can be factored to be the product of a binomial squared. Absolute value bars are needed since this is the principal square root.
Cube Roots
Definition of Cube Root
The number c is the cube root of a if its third power is a, that is, c3 = a. Every real number has exactly one cube root in the real number system.
For example: 2 is the cube root of 8 because 23 = 8, or .
–3 is the cube root of –27 because (–3)3 = –27, or
NOTE:
No absolute value signs are needed when finding cube roots, because a real number has just one cube root. The cube root of a positive number is positive. The cube root of a negative number is negative.
nth Roots
For any real numbers a and b, and any positive integer n, if an = b, then a is the nth root of b.
example:
Whenever the number n in is an odd number, we say we are taking an odd root. When the index is an even number, we say that we are taking an even root. The number n is called the index. When the index is 2 we do not write it.
When we take any odd root of a number, we find that there is just one answer. If the number is positive, the root is positive. If the number is negative, the root is negative.
Every positive real number has two nth roots when n is even. One of these roots is positive and one is negative. Negative real numbers do not have nth roots when n is even.
Absolute value signs are never needed when finding odd roots. When finding even nth roots, absolute value signs are sometimes necessary, as with square roots.
examples:
odd index – one answer only, no absolute value bars needed.
even index – two nth roots are possible, we only want the non-negative root. Absolute value bars are needed to ensure y is non-negative.
odd index – one answer only, a negative constant, no absolute value bars needed since index is odd.
2006-10-16 05:50:34
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answer #2
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answered by Brite Tiger 6
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It's called the radical.
(And just a little extra info: the number under the radical is called the radicand and the number in front of the radical is called the index. Example: if you where looking for the third root of 8, the three is the index number and the 8 is the radicand.) :)
2006-10-16 05:47:08
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answer #3
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answered by SmileyGirl 4
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It's a radical symbol. later on it's used with an index number to indicate cube roots or other roots.
2006-10-16 06:38:30
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answer #4
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answered by mom 7
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The radical sign.
2006-10-16 05:49:26
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answer #5
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answered by ysk 4
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Radical
2006-10-16 07:12:59
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answer #6
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answered by London Tipton 2
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VECTOR
2016-03-28 11:42:35
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answer #7
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answered by Anonymous
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radical
2006-10-16 05:56:26
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answer #8
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answered by openpsychy 6
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radical
2006-10-16 05:44:49
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answer #9
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answered by dualspace 3
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radical
2006-10-16 05:44:28
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answer #10
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answered by raj 7
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