go step by step to reduse the radical ^48 plesae do it step by step

Answer 1

To simplify the square root of 48 step by step, we can break it down into prime factors:

1. Start by finding the prime factorization of 48.
48 = 2 * 2 * 2 * 2 * 3

2. Group the prime factors in pairs:
48 = (2*2) * (2*2) * 3

3. Simplify each group by taking the square root of the multiplied terms:
√48 = √(2*2) * √(2*2) * √3

4. Simplify the square roots:
√48 = 2 * 2 * √3

5. Multiply the numbers outside the square root:
√48 = 4√3

Therefore, the simplified form of √48 is 4√3.