Simplify: sqrt (12) - sqrt (27)
a) - sqrt (15)
b) -5 sqrt (3)
c) -15 sqrt (3)
d) -sqrt (3)
i think d
D is right.
thanks jen
To simplify the expression √12 - √27, we need to find the simplified forms of the square roots separately and then subtract them.
First, let's simplify √12. To do this, we can factor 12 into its prime factors: 12 = 2 * 2 * 3. Next, we group the pairs of the same numbers under the square root, which gives us: √12 = √(2 * 2 * 3). Taking one number from each pair outside of the square root, we get: 2√3.
Next, let's simplify √27. Following the same process, we factor 27 into prime factors: 27 = 3 * 3 * 3. Grouping the pairs, we have: √27 = √(3 * 3 * 3). Taking one number from each pair outside of the square root, we get: 3√3.
Now, substituting the simplified square roots back into the original expression, we have: 2√3 - 3√3. Since both terms have √3, we can combine them by subtracting their coefficients: (2 - 3)√3. This simplifies to: -√3.
Therefore, the simplified form of √12 - √27 is -√3. Thus, your answer is option d) -√3.