Show that sum, difference, product and quotient of two rational numbers are still rational, that is, for any x, y ∈ Q, show that x + y, x − y, xy, x y are rational numbers. (2) Show that √ p is irrational for any prime number p. (3) Use (1) and (2) to show that √ 2 + √ 3 is irrational.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

step-by-step explanation:

the true ones are a b and d

x=0

step-by-step explanation: