Is 2 square root of 5 times 3 square root of 8 a rational number or a irrational

To determine if an expression is rational or irrational, we first simplify the expression.

2sqrt(5) * 3sqrt(8)

=2sqrt(5) * 3 sqrt(2*2^2)

=2sqrt(5) * 3sqrt(2)sqrt(2^2)

=2sqrt(5) * 3 sqrt(2) * 2

=2*3*2 * sqrt(5)*sqrt(2)

=12sqrt(2)sqrt(5)

since 2 and 5 are prime, and therefore cannot be perfect squares, their square-roots cannot be simplified further.  We conclude that the given expression is irrational, because the simplified version contains square-roots of prime numbers.  

Note: 1 is not considered a prime number.

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )