To simplify this expression, we first need to simplify the square roots and then perform the multiplication and division.
Starting with the square roots:√12 can be simplified as:
√12 = √(4 * 3) = 2√3
Next, we have:
14 2√3 1/4 - √0.64/√0.16
Now, let's simplify the square roots under each division:
√0.64 = √(0.8 0.8) = 0.8√0.16 = √(0.4 0.4) = 0.4
Substitute the values back into the expression:
14 2√3 1/4 - 0.8/0.4
Now, we simplify:
(14/4) 2√3 - 27 2√3 - 214√3 - 2
Therefore, the simplified expression is 14√3 - 2.
To simplify this expression, we first need to simplify the square roots and then perform the multiplication and division.
Starting with the square roots:
√12 can be simplified as:
√12 = √(4 * 3) = 2√3
Next, we have:
14 2√3 1/4 - √0.64/√0.16
Now, let's simplify the square roots under each division:
√0.64 = √(0.8 0.8) = 0.8
√0.16 = √(0.4 0.4) = 0.4
Substitute the values back into the expression:
14 2√3 1/4 - 0.8/0.4
Now, we simplify:
(14/4) 2√3 - 2
7 2√3 - 2
14√3 - 2
Therefore, the simplified expression is 14√3 - 2.