Which of the following shows that the sum of two irrational numbers can be irrational? A. (5+π)+(3-π)
B. √3+√5
C. (3+√5)+(3-√5)
D. (π/3)+(-π/3)

Given:

The sum of irrational number in the options.

To find:

The option that shows the sum of two irrational numbers can be irrational.

Solution:

In option A,

We know that 8 is a rational number. So, option A is incorrect.

In option B,

Here both numbers are irrational and it cannot be simplified further.

So, is an irrational number and option B is correct.

In option C,

We know that 6 is a rational number. So, option C is incorrect.

In option D,

We know that 0 is a rational number. So, option D is incorrect.

Therefore, the correct option is B.

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point