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.

the square root of what number? if you add that, then someone will probably answer the question.

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