You can use the fact that is irrational to answer the questions below. You can also use other facts proven within this exercise. (a) Prove that is irrational. (b) Prove that is irrational. (c) Is it true that the sum of two positive irrational numbers is also irrational

See Explanation for proofs

Step-by-step explanation:

Given

See attachment for complete question

Solving (a):

is irrational

So, we have:

can not be represented as a fraction of whole numbers.

Hence:

is irrational

Solving (b):

is irrational

So, we have:

can not be represented as a fraction of whole numbers.

Hence:

is irrational

Solving (c):

The sum of two positive irrational number is always irrational

Proof Below

If a is irrational and b is also irrational,

then

Take for instance:

is irrational and this is true for the sum of every positive irrational numbers

10/60

step-by-step explanation:

if you divide 10 by 60 the answer is 0.166666 while if you divide or solve the other problems it equals 0.6

solve systems of equations by graphing. a system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. the solution of such a system is the ordered pair that is a solution to both equations. to solve a system of linear equations graphically we graph both equations in the same coordinate system