Question 244940
By the distributive law:

square root of 7 * (square root of 5 - square root of 3) = 

(square root of 7 * square root of 5) - (square root of 7 * square root of 3)

Using the rule that the product of square roots is the square root of the product or in other words:

square root of (x*y) = square root x * square root y we have:

square root of 7 * square root of 5 = square root of (7*5) = square root of 35 

and 

square root of 7 * square root of 3 = square root of (7*3) = square root of 21

Since neither 35 nor 21 have any perfect square factors to simplify we have:

(square root of 35 - square root of 21) as the final answer.