3 years ago

Help I will mark brainliest

Mathematics

1 answer:

saul85 [17]3 years ago

4 0

Answer:

It really and surely and am sure it is 60

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What is the following quotient? 1 divided by 1+ square root 3

ollegr [7]

Answer:

4th option

Step-by-step explanation:

The given expression is:

$\frac{1}{1+\sqrt{3}}$

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 $1-\sqrt{3}$ , as shown below:

$\frac{1}{1+\sqrt{3}}\\=\frac{1}{1+\sqrt{3}} \times \frac{1-\sqrt{3}}{1-\sqrt{3}}\\=\frac{1-\sqrt{3}}{(1)^{2}-(\sqrt{3})^{2}}\\\\ =\frac{1-\sqrt{3}}{1-3}\\\\ =\frac{1-\sqrt{3}}{-2}\\\\ =\frac{-1(1-\sqrt{3})}{2}\\\\ =\frac{-1+\sqrt{3}}{2}$