Answer:the simplified form of V48 is 4V3.
Explanation:
1. Start by finding the prime factors of 48
The prime factors of 48 are 2, 2, 2, and 2, multiplied by 3.
48=2*2*2*2*3
2. Group the prime factors in pairs.
Pair the prime factors in sets of two:
48 = (2 * 2) * (2 * 2) * 3
3. Take out the paired prime factors.
Since each pair consists of the same number, we can take one of each
pair out of the square root.
V48 = V12 * 2) * V(2 * 2) * 13
4. Simplify the square roots.
The square root of 2 * 2 is 2, and the square root of 3 remains under the
radical sign.
V48=2*2* 13
5. Multiply the numbers outside the square root.
2* 2 is equal to 4.
V48 = 4V3
Therefore, the simplified form of V48 is 4V3.