Question

Which is true about the expression 3 square root x 2 square root

a). It represents the product of two irrational numbers and is equivalent to a rational number.

b). It represents the product of two irrational numbers and is equivalent to an irrational number.

c). It represents the product of two rational numbers and is equivalent to a rational number.

d). It represents the product of two rational numbers and is equivalent to an irrational number.

Answer 1

Explanation:

Neither one of the two given numbers are rational. sqrt(3)*sqrt(2) equals the square root of 6. All three numbers are irrational.

You can try it for yourself.

sqrt(2) = 1.4142

sqrt(3) = 1.732

1.4142 * 1.732 = 2.4493

sqrt(6) = 2.4493

The difference is a rounding error.

So the answer is B. sqrt(6) is totally irrational.