Multiply 5√19 x 6√2

Answer 1

To solve this problem, we will multiply the numbers outside the square roots, then simplify the square roots.

5√19 x 6√2 = (5 x 6)(√19 x √2) = 30√(19 x 2)

Now we need to simplify the square root of 19 x 2:

The prime factorization of 19 is 19 x 1.
The prime factorization of 2 is 2 x 1.

So, the prime factorization of 19 x 2 is 19 x 2 x 1.

Now we can simplify the square root:

30√(19 x 2) = 30√38