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alicia186
01.07.2019 •
Mathematics
What is the following quotient? 1 divided by 1+ square root 3
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Ответ:
4th option
Step-by-step explanation:
The given expression is:
In order to simplify this expression we have to multiply and divide it with the conjugate of the denominator i.e multiply and divide the entire expression with
, as shown below:
Thus, 4th option gives the correct answer.
Ответ:
The right option is D -1+√3/2
Step-by-step explanation:
To find the quotient of the sure function 1/1+√3, we will rationalize the surd function by multiplying the numerator and the denominator of the surd by the conjugate of its denominator.
Given he denominator to be 1+√3, the conjugate of 1+√3 is 1-√3
Multiplying by 1-√3 will result in the following;
1/1+√3×1-√3/1-√3
= 1-√3/(1+√3)(1-√3)
= 1-√3/1-√3+√3-√9
= 1-√3/1-√9
= 1-√3/1-3
= 1-√3/-2
= -(1-√3)/2
= -1+√3/2
The right option is D -1+√3/2
Ответ: