You can put this solution on YOUR website! 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.
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