1/√6 - √11 + √5

LCM = √6

(1 - (√6)*(√11) + (√5)*(√6) ) / √6

(1 - √(6*11) + √(5*6) )/ √6

Rationalize the surd by multiplying top and bottom by √6

((1 - √(6*11) + √(5*6) )/ √6) * (√6/√6)

(√6 - √(6*6*11) + √(5*6*6)) / √6

(√6 - 6√(11) + 6√(5)) / 6

So answer is:

(√6 - 6√11 + 6√5) / 6

3 0

4 years ago

MAtHhHhHHhhHHHH Ughhhhhhhhhh

yan [13]

The probability of three independent events happening one after the other is the multiplication of the probability of the single events.

The probability of spinning an odd number is 5/10=1/2, because there are 5 odd numbers (1,3,5,7 and 9) out of the 10 numbers from 1 to 10.

The probability of spinning a number less than 4 is 3/10, because there are 3 numbers (1,2 and 3) that are less than 4 out of the 10 numbers from 1 to 10.

The probability of spinning a 7 is 1/10, because you only have one good outcome out of 10.

So, the probability of winning the game is

$\dfrac{1}{2}\times\dfrac{3}{10}\times\dfrac{1}{10} = \dfrac{3}{200}$

3 0

3 years ago