Question

The answer to 7√12 x √5, given in its simplest form, is cvd, where c

and d are integers.
Calculate the values of c and d.

Answer 1

To simplify the expression 7√12 x √5, simplify the square roots and then combine like terms. The values of c and d in the simplest form are c = 14 and d = √15.

Step-by-step explanation:

To simplify the expression 7√12 x √5, we first simplify the square roots. The square root of 12 can be simplified as √(4 x 3) = √4 x √3 = 2√3. So, the given expression becomes 7(2√3) x √5 = 14√3 x √5 = 14√(3 x 5) = 14√15.

Since the answer needs to be in its simplest form, we cannot simplify the square root of 15 further. Therefore, the values of c and d in the simplest form of the expression 7√12 x √5 (given as cvd) are c = 14 and d = √15.

Learn more about Simplifying square roots