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.

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.