Mathematics OpenStudy (anonymous):

rationalize the denominator sqrt 6/sqrt 3 + sqrt 5 OpenStudy (anonymous):

is sqrt 3 + sqrt 5 the denominator? OpenStudy (anonymous):

yes OpenStudy (nikita2):

you should multiple up and down on sqrt 3 - sqrt 5, and use formula (a-b)(a+b) = a^2-b^2 OpenStudy (nikita2):

So you will have (sqrt 6)(sqrt 3 - sqrt 5)/(3 - 5) OpenStudy (anonymous):

we do what is called multiplying by the conjugate the conjugate of a+b is a-b. this is especially useful for imaginary numbers. in your case, as nikita pointed out, $\frac{\sqrt{6}}{\sqrt{3}+\sqrt{5}} = \frac{\sqrt{6} \times (\sqrt{3}-\sqrt{5})}{(\sqrt{3}+\sqrt{5})\times (\sqrt{3}-\sqrt{5})} = \frac{\sqrt{6} \times (\sqrt{3}-\sqrt{5})}{3-5}$ OpenStudy (anonymous):

ok thanks you guys are great OpenStudy (anonymous):

you are welcome

Latest Questions Graceholz: A surveyor at Point A needs to find the distance to the island at Point C. He walks 150 meters down the shoreline to Point B, such that AB is perpendicular
1 minute ago 0 Replies 0 Medals imbored: If a chemist starts with 105.0 g of ethanol and 135.65 g of phosphorus trichlorid
48 minutes ago 0 Replies 0 Medals Lionblaze15: How can I be a true bad girl?
11 minutes ago 3 Replies 0 Medals jennylove: can someone check my answers?
1 hour ago 6 Replies 0 Medals ezelkowitz: A linear function that represents the number of hot dogs purchased at a football game is compared to a different linear function that represents the time le
1 hour ago 1 Reply 1 Medal slimeb: Review the first paragraph of "Negore, the Coward." Which group of words contribu
3 hours ago 0 Replies 0 Medals milkystxrz: Corinne has a job selling magazines. She earns \$7.50 per hour plus 20% of the total amount of her sales.
2 hours ago 8 Replies 0 Medals decembermay: two truths, one lie
3 hours ago 7 Replies 0 Medals milkystxrz: Traveling at 65 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 125 miles from San Diego to Malibu? a.
3 hours ago 8 Replies 0 Medals